R/ddst.evd.test.R
In pbiecek/ddst: Data Driven Smooth Tests
Defines functions
`ddst.extr.Nk`
`ddst.evd.test`
#' Data Driven Smooth Test for Extreme Value Distribution
#'
#' Performs data driven smooth test for composite hypothesis of extreme value distribution.
#' Null density is given by
#' \eqn{
#' f(z;\gamma)=1/\gamma_2 \exp((z-\gamma_1)/\gamma_2- \exp((z-\gamma_1)/\gamma_2))}, \eqn{z \in R}.
#'
#' We model alternatives similarly as in Kallenberg and Ledwina (1997) and Janic-Wroblewska (2004) using Legendre's polynomials or cosines.
#' For more details see: \url{http://www.biecek.pl/R/ddst/description.pdf}.
#'
#' @aliases ddst.extr.Nk
#'
#' @param x a (non-empty) numeric vector of data values
#' @param base a function which returns an orthonormal system, possible choice: \code{ddst.base.legendre} for the Legendre polynomials and \code{ddst.base.cos} for the cosine system
#' @param d.n an integer specifying the maximum dimension considered, only for advanced users
#' @param c a calibrating parameter in the penalty in the model selection rule
#' @param nr an integer specifying the number of runs for a p-value and a critical value computation if any
#' @param compute.p a logical value indicating whether to compute a p-value or not
#' @param alpha a significance level
#' @param compute.cv a logical value indicating whether to compute a critical value corresponding to the significance level alpha or not
#' @param ... further arguments
#'
#' @return
#' An object of class \code{htest}
#' \item{statistic }{the value of the test statistic.}
#' \item{parameter }{the number of choosen coordinates (k).}
#' \item{method }{a character string indicating the parameters of performed test. }
#' \item{data.name }{a character string giving the name(s) of the data. }
#' \item{p.value }{the p-value for the test, computed only if \code{compute.p=TRUE}.}
#'
#' @importFrom evd pgumbel
#' @importFrom orthopolynom slegendre.polynomials
#' @importFrom polynom polynomial
#' @references
#' Hosking, J.R.M., Wallis, J.R., Wood, E.F. (1985). Estimation of the generalized extreme-value distribution by the method of probability-weighted moments. \eqn{ Technometrics} 27, 251--261.
#'
#' Janic-Wroblewska, A. (2004). Data-driven smooth test for extreme value distribution. \eqn{ Statistics} 38, 413--426.
#'
#' Janic, A. and Ledwina, T. (2008). Data-driven tests for a location-scale family revisited. \eqn{ J. Statist. Theory. Pract. Special issue on Modern Goodness of Fit Methods. accepted.}.
#'
#' Kallenberg, W.C.M., Ledwina, T. (1997). Data driven smooth tests for composite hypotheses: Comparison of powers. \eqn{ J. Statist. Comput. Simul.} \bold{ 59}, 101--121.
#'
#' @export
#'
#' @examples
#' library(evd)
#' set.seed(7)
#'
#' # for given vector of 19 numbers
#' z <- c(13.41, 6.04, 1.26, 3.67, -4.54, 2.92, 0.44, 12.93, 6.77, 10.09,
#' 4.10, 4.04, -1.97, 2.17, -5.38, -7.30, 4.75, 5.63, 8.84)
#' \dontrun{
#' t <- ddst.evd.test(z, compute.p = TRUE, d.n = 10)
#' t
#' plot(t)
#'
#' # H0 is true
#' x <- -qgumbel(runif(100),-1,1)
#' t <- ddst.evd.test (x, compute.p = TRUE, d.n = 10)
#' t
#' plot(t)
#'
#' # H0 is false
#' x <- rexp(80,4)
#' t <- ddst.evd.test (x, compute.p = TRUE, d.n = 10)
#' t
#' plot(t)
#' }
#' @keywords htest
`ddst.evd.test` <-
function(x,
base = ddst.base.legendre,
d.n = 10,
c = 100,
nr = 100000,
compute.p = TRUE,
alpha = 0.05,
compute.cv = TRUE,
...) {
# method.name = as.character(substitute(base))
base = ddst.base.legendre
method.name = "ddst.base.legendre"
n = length(x)
if (n < 5)
stop("length(x) should be at least 5")
sx = sort(x)
er2 = sum(sx * (1:n - n:1)) / (n * (n - 1) * log(2))
er1 = mean(x) + 0.5772156649 * er2
maxN = max(min(d.n, length(x) - 2, 20), 1)
u = NULL
for (j in 1:maxN)
u[j] = ddst.phi(1 - pgumbel(-x, -er1, er2), j, base)
coord = NULL
gg1 = mean(1 - exp((x - er1) / er2))
gg2 = mean((1 - exp((x - er1) / er2)) * (x - er1) / er2 + 1)
for (k in 1:d.n) {
korekta = u[1:k] + t(MMextr12[[k]]) %*% sM22 %*% c(gg1, gg2)
coord[k] = t(korekta) %*% MMextr[[k]] %*% korekta * n
}
l = ddst.IIC(coord, n, c)
attr(l, "names") = "T*"
t = coord[l]
attr(t, "names") = "W*T*"
result = list(statistic = t,
parameter = l,
coordinates = coord - c(0, coord[-d.n]),
method = "Data Driven Smooth Test for Extreme Values")
result$data.name = paste(paste(as.character(substitute(x)), collapse = ""),
", base: ",
method.name,
", c: ",
c,
", d.n: ",
d.n,
sep = "")
class(result) = c("htest", "ddst.test")
if (compute.p | compute.cv) {
tmp = numeric(nr)
for (i in 1:nr) {
y = rnorm(n)
tmpC = ddst.extr.Nk(y, base, Dmax = d.n, n = length(y))
l = ddst.IIC(tmpC, n, c)
tmp[i] = tmpC[l]
}
p.val = mean(tmp > t)
if (compute.p) {
result$p.value = mean(tmp > t)
}
if (compute.cv) {
result$cv = quantile(tmp, alpha)
}
}
result
}
`MMextr12` <-
list(
structure(c(0.866025403784439,-0.234141092407759), .Dim = c(2L,
1L)),
structure(
c(
0.866025403784439,
-0.234141092407759,
0.372677996249965,
1.10810510880576
),
.Dim = c(2L, 2L)
),
structure(
c(
0.866025403784439,-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248
),
.Dim = 2:3
),
structure(
c(
0.866025403784439,-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808
),
.Dim = c(2L, 4L)
),
structure(
c(
0.866025403784439,
-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152
),
.Dim = c(2L,
5L)
),
structure(
c(
0.866025403784439,
-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152,
0.0858464589396188,
0.294178041927853
),
.Dim = c(2L, 6L)
),
structure(
c(
0.866025403784439,
-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152,
0.0858464589396188,
0.294178041927853,
0.069160416896561,
0.100333337378287
),
.Dim = c(2L, 7L)
),
structure(
c(
0.866025403784439,-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152,
0.0858464589396188,
0.294178041927853,
0.069160416896561,
0.100333337378287,
0.0572653559113564,
0.202528656207688
),
.Dim = c(2L, 8L)
),
structure(
c(
0.866025403784439,
-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152,
0.0858464589396188,
0.294178041927853,
0.069160416896561,
0.100333337378287,
0.0572653559113564,
0.202528656207688,
0.0484322104837853,
0.0754369796383129
),
.Dim = c(2L, 9L)
),
structure(
c(
0.866025403784439,
-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152,
0.0858464589396188,
0.294178041927853,
0.069160416896561,
0.100333337378287,
0.0572653559113564,
0.202528656207688,
0.0484322104837853,
0.0754369796383129,
0.0416597790450531,
0.150701656278937
),
.Dim = c(2L, 10L)
),
structure(
c(
0.866025403784439,-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152,
0.0858464589396188,
0.294178041927853,
0.069160416896561,
0.100333337378287,
0.0572653559113564,
0.202528656207688,
0.0484322104837853,
0.0754369796383129,
0.0416597790450531,
0.150701656278937,
0.0363320569947933,
0.0594232320521485
),
.Dim = c(2L, 11L)
),
structure(
c(
0.866025403784439,
-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152,
0.0858464589396188,
0.294178041927853,
0.069160416896561,
0.100333337378287,
0.0572653559113564,
0.202528656207688,
0.0484322104837853,
0.0754369796383129,
0.0416597790450531,
0.150701656278937,
0.0363320569947933,
0.0594232320521485,
0.0320512820512820,
0.117963013416300
),
.Dim = c(2L, 12L)
),
structure(
c(
0.866025403784439,
-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152,
0.0858464589396188,
0.294178041927853,
0.069160416896561,
0.100333337378287,
0.0572653559113564,
0.202528656207688,
0.0484322104837853,
0.0754369796383129,
0.0416597790450531,
0.150701656278937,
0.0363320569947933,
0.0594232320521485,
0.0320512820512820,
0.117963013416300,
0.0285502880368496,
0.0484291463698838
),
.Dim = c(2L, 13L)
),
structure(
c(
0.866025403784439,-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152,
0.0858464589396188,
0.294178041927853,
0.069160416896561,
0.100333337378287,
0.0572653559113564,
0.202528656207688,
0.0484322104837853,
0.0754369796383129,
0.0416597790450531,
0.150701656278937,
0.0363320569947933,
0.0594232320521485,
0.0320512820512820,
0.117963013416300,
0.0285502880368496,
0.0484291463698838,
0.0256436419387357,
0.0956922480067001
),
.Dim = c(2L, 14L)
),
structure(
c(
0.866025403784439,
-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152,
0.0858464589396188,
0.294178041927853,
0.069160416896561,
0.100333337378287,
0.0572653559113564,
0.202528656207688,
0.0484322104837853,
0.0754369796383129,
0.0416597790450531,
0.150701656278937,
0.0363320569947933,
0.0594232320521485,
0.0320512820512820,
0.117963013416300,
0.0285502880368496,
0.0484291463698838,
0.0256436419387357,
0.0956922480067001,
0.0231990181784584,
0.0404954537147379
),
.Dim = c(2L, 15L)
),
structure(
c(
0.866025403784439,
-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152,
0.0858464589396188,
0.294178041927853,
0.069160416896561,
0.100333337378287,
0.0572653559113564,
0.202528656207688,
0.0484322104837853,
0.0754369796383129,
0.0416597790450531,
0.150701656278937,
0.0363320569947933,
0.0594232320521485,
0.0320512820512820,
0.117963013416300,
0.0285502880368496,
0.0484291463698838,
0.0256436419387357,
0.0956922480067001,
0.0231990181784584,
0.0404954537147379,
0.0211197156122722,
0.0797299850375612
),
.Dim = c(2L, 16L)
),
structure(
c(
0.866025403784439,-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152,
0.0858464589396188,
0.294178041927853,
0.069160416896561,
0.100333337378287,
0.0572653559113564,
0.202528656207688,
0.0484322104837853,
0.0754369796383129,
0.0416597790450531,
0.150701656278937,
0.0363320569947933,
0.0594232320521485,
0.0320512820512820,
0.117963013416300,
0.0285502880368496,
0.0484291463698838,
0.0256436419387357,
0.0956922480067001,
0.0231990181784584,
0.0404954537147379,
0.0211197156122722,
0.0797299850375612,
0.0193335940624170,
0.0345719293822885
),
.Dim = c(2L, 17L)
),
structure(
c(
0.866025403784439,
-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152,
0.0858464589396188,
0.294178041927853,
0.069160416896561,
0.100333337378287,
0.0572653559113564,
0.202528656207688,
0.0484322104837853,
0.0754369796383129,
0.0416597790450531,
0.150701656278937,
0.0363320569947933,
0.0594232320521485,
0.0320512820512820,
0.117963013416300,
0.0285502880368496,
0.0484291463698838,
0.0256436419387357,
0.0956922480067001,
0.0231990181784584,
0.0404954537147379,
0.0211197156122722,
0.0797299850375612,
0.0193335940624170,
0.0345719293822885,
0.0177858553517492,
0.0680306326567245
),
.Dim = c(2L, 18L)
),
structure(
c(
0.866025403784439,
-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152,
0.0858464589396188,
0.294178041927853,
0.069160416896561,
0.100333337378287,
0.0572653559113564,
0.202528656207688,
0.0484322104837853,
0.0754369796383129,
0.0416597790450531,
0.150701656278937,
0.0363320569947933,
0.0594232320521485,
0.0320512820512820,
0.117963013416300,
0.0285502880368496,
0.0484291463698838,
0.0256436419387357,
0.0956922480067001,
0.0231990181784584,
0.0404954537147379,
0.0211197156122722,
0.0797299850375612,
0.0193335940624170,
0.0345719293822885,
0.0177858553517492,
0.0680306326567245,
0.0164342052589432,
0.0305267178695429
),
.Dim = c(2L, 19L)
),
structure(
c(
0.866025403784439,-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152,
0.0858464589396188,
0.294178041927853,
0.069160416896561,
0.100333337378287,
0.0572653559113564,
0.202528656207688,
0.0484322104837853,
0.0754369796383129,
0.0416597790450531,
0.150701656278937,
0.0363320569947933,
0.0594232320521485,
0.0320512820512820,
0.117963013416300,
0.0285502880368496,
0.0484291463698838,
0.0256436419387357,
0.0956922480067001,
0.0231990181784584,
0.0404954537147379,
0.0211197156122722,
0.0797299850375612,
0.0193335940624170,
0.0345719293822885,
0.0177858553517492,
0.0680306326567245,
0.0164342052589432,
0.0305267178695429,
0.0152455338986496,
0.0615566914608176
),
.Dim = c(2L, 20L)
)
)
`MMextr` <-
list(
structure(32.3209404708014, .Dim = c(1L, 1L)),
structure(
c(
34.3970537843995,-2.66186048577395,
-2.66186048577395,
3.41286826654214
),
.Dim = c(2L,
2L)
),
structure(
c(
122.44648288656,
-0.177860727429421,
19.0055823736559,-0.177860727429428,
3.48294543640426,
0.536174538605836,
19.0055823736559,
0.536174538605838,
4.10237936855581
),
.Dim = c(3L, 3L)
),
structure(
c(
130.209043428429,-4.51451571759888,
19.2377674248368,
-3.97418625924684,
-4.51451571759888,
5.90567391656528,
0.406461352419979,
2.22023062880676,
19.2377674248368,
0.406461352419978,
4.10932422878602,
-0.118871425868910,
-3.97418625924684,
2.22023062880676,
-0.118871425868908,
2.03465806649702
),
.Dim = c(4L,
4L)
),
structure(
c(
281.015537230139,
3.08029658576524,
44.6135396937781,-2.97344456375853,
19.0177199641021,
3.08029658576527,
6.28815859921544,
1.68441843886300,
2.27062928969849,
0.957757255169728,
44.6135396937781,
1.684418438863,
8.37923198946806,
0.0495204830241909,
3.20005669993291,-2.97344456375852,
2.27062928969849,
0.0495204830241905,
2.04129892071915,
0.126200303723139,
19.0177199641021,
0.957757255169724,
3.20005669993290,
0.126200303723138,
2.39826325455559
),
.Dim = c(5L, 5L)
),
structure(
c(
296.630711253731,-3.76147597987010,
45.5081153807952,
-6.21381817139198,
19.0790606375848,-5.08407622736899,
-3.76147597987012,
9.28587426790755,
1.29246101436860,
3.69039567959708,
0.930880901671609,
2.22758281153032,
45.5081153807952,
1.29246101436860,
8.43048122041436,
-0.136116861898231,
3.20357083785028,-0.291260986081566,
-6.21381817139199,
3.69039567959708,
-0.136116861898234,
2.71372313457567,
0.113471230122805,
1.05501907320863,
19.0790606375848,
0.930880901671611,
3.20357083785028,
0.113471230122806,
2.39850421749443,-0.0199716416450984,
-5.08407622736899,
2.22758281153032,
-0.291260986081566,
1.05501907320863,
-0.0199716416450986,
1.65530214691452
),
.Dim = c(6L,
6L)
),
structure(
c(
512.313849849907,
9.8270826615388,
82.4198846430386,-3.58734355413421,
35.325426722725,
-4.50507317114052,
20.1350606258432,
9.8270826615388,
10.1419862808949,
3.61799162581456,
3.85586992384758,
1.95444120265120,
2.26406140245924,
1.26855744887350,
82.4198846430386,
3.61799162581456,
14.7475198120127,
0.31337504403547,
5.9839556198402,-0.192171055581001,
3.44589158308727,
-3.58734355413420,
3.85586992384758,
0.313375044035469,
2.74570694638404,
0.311310840687776,
1.06206986466315,
0.245194065678628,
35.325426722725,
1.95444120265120,
5.9839556198402,
0.311310840687776,
3.62226427908448,
0.0236418539537150,
1.51667658493421,-4.50507317114052,
2.26406140245924,
-0.192171055581001,
1.06206986466315,
0.0236418539537147,
1.65685648510389,
0.0540527262148954,
20.1350606258432,
1.26855744887349,
3.44589158308726,
0.245194065678627,
1.51667658493421,
0.0540527262148952,
1.87970496463079
),
.Dim = c(7L, 7L)
),
structure(
c(
537.174461265744,
0.512782902530479,
84.20268600263,
-8.05436983232551,
35.6479469866289,-7.29503636643204,
20.1498606421399,
-6.06457494052765,
0.512782902530449,
13.6316904780056,
2.95004561289220,
5.52949013738349,
1.83360546107918,
3.30935160400959,
1.26301246102393,
2.27215927887482,
84.20268600263,
2.9500456128922,
14.8753678618693,
-0.00696384018943662,
6.00708415659915,-0.392244581311429,
3.44695292018524,
-0.434902113567518,
-8.05436983232552,
5.52949013738349,
-0.00696384018943565,
3.54835509675595,
0.253359470545891,
1.56337848897983,
0.242534756114088,
1.08970029627342,
35.6479469866288,
1.83360546107917,
6.00708415659915,
0.25335947054589,
3.62644838054873,-0.0125527372001168,
1.51686858766016,
-0.0786765971912042,
-7.29503636643205,
3.30935160400959,
-0.392244581311428,
1.56337848897983,
-0.0125527372001164,
1.96995798131718,
0.0523918056498745,
0.680592307088952,
20.1498606421399,
1.26301246102393,
3.44695292018524,
0.242534756114088,
1.51686858766016,
0.0523918056498743,
1.87971377537474,
-0.0036103620484587,
-6.06457494052766,
2.27215927887482,
-0.434902113567518,
1.08970029627342,
-0.078676597191204,
0.680592307088952,
-0.00361036204845865,
1.47941129017510
),
.Dim = c(8L,
8L)
),
structure(
c(
819.143661337148,
20.6552663424948,
132.998745280787,-3.57835751069945,
57.2260677899828,
-5.91381020282217,
32.703279767742,-5.66993879870671,
21.4830243288986,
20.6552663424948,
15.0705697564038,
6.43579446665671,
5.84923429398857,
3.37503956394234,
3.40801956178766,
2.15976656320369,
2.30035013074599,
1.53464088161272,
132.998745280787,
6.43579446665671,
23.3197490229125,
0.767630557072814,
9.74127662004923,-0.153217078523954,
5.61937949600029,
-0.366608524889314,
3.71773558375014,-3.57835751069946,
5.84923429398857,
0.767630557072808,
3.61940784400026,
0.595893103896238,
1.58530423592562,
0.441809211162737,
1.09596479691003,
0.34102406070451,
57.2260677899828,
3.37503956394235,
9.74127662004923,
0.59589310389624,
5.27774681061211,
0.093147690391196,
2.47753803070139,-0.0484764677464773,
1.64402102808739,
-5.91381020282216,
3.40801956178767,-0.153217078523954,
1.58530423592562,
0.0931476903911958,
1.97672391786116,
0.113884730886574,
0.682525432281534,
0.105234597498713,
32.703279767742,
2.15976656320369,
5.61937949600029,
0.441809211162737,
2.47753803070139,
0.113884730886574,
2.43859868799330,
0.0139590493948294,
0.956435697295593,-5.66993879870671,
2.30035013074599,
-0.366608524889314,
1.09596479691003,-0.0484764677464775,
0.682525432281534,
0.0139590493948297,
1.47996361179176,
0.0300670351004980,
21.4830243288986,
1.53464088161272,
3.71773558375014,
0.341024060704510,
1.64402102808739,
0.105234597498713,
0.956435697295593,
0.0300670351004979,
1.63677569819399
),
.Dim = c(9L, 9L)
),
structure(
c(
854.250474615544,
8.91493970168793,
135.837282178762,
-9.26710489293656,
57.8827925389345,-9.48270773821005,
32.8632945092877,
-8.19037659798335,
21.4801537258390,-6.95559236414534,
8.91493970168783,
18.9967384046347,
5.48653854587784,
7.75164998506586,
3.15541942910870,
4.60152073436018,
2.10625486112516,
3.14322820135604,
1.53560086101374,
2.32607060310064,
135.837282178762,
5.48653854587783,
23.549256943705,
0.307670855812477,
9.7943756415108,-0.441777799172487,
5.63231737630568,
-0.570396764954333,
3.71750348314227,-0.562389568552582,
-9.26710489293657,
7.75164998506586,
0.307670855812478,
4.5412188475311,
0.489476689315478,
2.16361239368755,
0.41588024304865,
1.50437936359351,
0.341489216442637,
1.12709198467218,
57.8827925389345,
3.15541942910871,
9.7943756415108,
0.489476689315479,
5.29003181615983,
0.0263861954251879,
2.48053134257331,
-0.0956249761528032,
1.64396732922109,-0.130114619430786,
-9.48270773821007,
4.60152073436018,
-0.441777799172486,
2.16361239368755,
0.0263861954251878,
2.33953182973571,
0.0976179107626083,
0.938748752199806,
0.105526418009594,
0.707093413712111,
32.8632945092876,
2.10625486112515,
5.63231737630568,
0.415880243048649,
2.48053134257331,
0.0976179107626074,
2.43932802555265,
0.00247104563233753,
0.956422613259673,-0.0317031712794379,
-8.19037659798336,
3.14322820135604,
-0.570396764954334,
1.50437936359351,
-0.095624976152804,
0.938748752199806,
0.00247104563233791,
1.66091443320781,
0.0302731254796505,
0.499365686425022,
21.4801537258390,
1.53560086101374,
3.71750348314227,
0.341489216442637,
1.64396732922109,
0.105526418009594,
0.956422613259674,
0.030273125479651,
1.63677593291659,
0.000568742727152438,
-6.95559236414535,
2.32607060310064,
-0.562389568552583,
1.12709198467218,
-0.130114619430787,
0.707093413712111,
-0.0317031712794377,
0.499365686425022,
0.00056874272715208,
1.37808763081201
),
.Dim = c(10L,
10L)
),
structure(
c(
1203.57808384091,
36.0200044219273,
196.778640962872,-2.77896868179259,
84.922037294422,
-7.20682480616153,
48.627329204544,-7.31357854683658,
31.9920469792315,
-6.6607108350063,
22.870799165159,
36.0200044219273,
21.099877446858,
10.215106887915,
8.25507813466665,
5.25345136168079,
4.77811128300207,
3.32941950480884,
3.21126080827084,
2.35124079167159,
2.34895108182903,
1.77459346242315,
196.778640962872,
10.2151068879150,
34.1806788879622,
1.43954771364311,
14.5114614726293,-0.0447424814655483,
8.38240545660101,
-0.417436440018575,
5.55133808807313,-0.510946508824441,
3.98988668743918,
-2.77896868179257,
8.25507813466666,
1.43954771364311,
4.66172438554944,
0.991682350668981,
2.20588285291777,
0.708669022517945,
1.52066432085218,
0.536728852428624,
1.13256888222244,
0.424784232114743,
84.9220372944221,
5.25345136168079,
14.5114614726293,
0.991682350668983,
7.38296904081382,
0.202547924442134,
3.70072574233528,-0.0277575746649424,
2.457626619285,
-0.107289701990266,
1.77028416892570,-7.20682480616153,
4.77811128300208,
-0.0447424814655465,
2.20588285291777,
0.202547924442135,
2.35435929536855,
0.200321208628792,
0.94446112553292,
0.174011810538296,
0.709014578319263,
0.149004144212143,
48.627329204544,
3.32941950480884,
8.38240545660101,
0.708669022517945,
3.70072574233528,
0.200321208628791,
3.15070835539346,
0.0420381297504842,
1.43079064367894,-0.0183961135674913,
1.03208581865971,
-7.31357854683657,
3.21126080827085,-0.417436440018575,
1.52066432085218,
-0.0277575746649426,
0.94446112553292,
0.042038129750484,
1.66311516055427,
0.0566575487975668,
0.500105827035844,
0.0574047730743405,
31.9920469792315,
2.35124079167159,
5.55133808807313,
0.536728852428625,
2.457626619285,
0.174011810538296,
1.43079064367894,
0.0566575487975672,
1.95309762307945,
0.00944225594181252,
0.68822329840189,-6.6607108350063,
2.34895108182903,
-0.510946508824439,
1.13256888222244,-0.107289701990266,
0.709014578319263,
-0.0183961135674909,
0.500105827035844,
0.00944225594181244,
1.37833655220823,
0.0193061643349974,
22.870799165159,
1.77459346242315,
3.98988668743918,
0.424784232114743,
1.77028416892570,
0.149004144212142,
1.03208581865971,
0.0574047730743405,
0.68822329840189,
0.0193061643349973,
1.49737221061044
),
.Dim = c(11L, 11L)
),
structure(
c(
1249.70436071525,
21.9003426666617,
200.804788373757,
-9.68090876399071,
85.9709240121947,-11.5531126741251,
48.9661431851002,
-10.3896546121603,
32.0839031494598,-8.99306559675041,
22.8600930841128,
-7.7799950077724,
21.9003426666617,
25.4220309262249,
8.98266751775889,
10.3678231038963,
4.93237785048112,
6.1085484816021,
3.22570554548602,
4.15287492757390,
2.32312280466547,
3.06290552516656,
1.77787068862289,
2.38152535628331,
200.804788373757,
8.9826675177589,
34.5321025031461,
0.837109579132873,
14.6030138984746,-0.42410966287207,
8.41197894752667,
-0.685932761970815,
5.55935578442738,-0.714526869555919,
3.98895220359587,
-0.679079450583789,
-9.68090876399072,
10.3678231038963,
0.837109579132868,
5.69447144701172,
0.834735946803918,
2.85622405705055,
0.657971807149744,
1.98094193547416,
0.522984283690966,
1.48156242574682,
0.426386198171642,
1.16413166251499,
85.9709240121947,
4.93237785048112,
14.6030138984746,
0.834735946803916,
7.40682016041985,
0.103715676854459,
3.70843018995334,
-0.0977058893008538,
2.45971537917246,-0.16032619434367,
1.77004071840306,
-0.176912900433233,
-11.5531126741251,
6.1085484816021,
-0.424109662872071,
2.85622405705055,
0.103715676854459,
2.76389198500314,
0.168396171686993,
1.23430702226661,
0.165356584378207,
0.928782699478418,
0.150012933850292,
0.73307668007026,
48.9661431851002,
3.22570554548603,
8.41197894752667,
0.657971807149744,
3.70843018995334,
0.168396171686993,
3.15319706510936,
0.0194432522355649,
1.43146536006143,-0.0355280924405143,
1.03200717867002,
-0.0571468424493999,
-10.3896546121603,
4.15287492757391,
-0.685932761970816,
1.98094193547416,
-0.0977058893008535,
1.23430702226661,
0.0194432522355648,
1.86825298222198,
0.0505318307503938,
0.655646250946056,
0.0581187418116032,
0.518833473096149,
32.0839031494598,
2.32312280466547,
5.55935578442738,
0.522984283690965,
2.45971537917246,
0.165356584378207,
1.43146536006143,
0.0505318307503936,
1.95328054605911,
0.00479758937537752,
0.688201978241848,
-0.0154931330741029,-8.99306559675042,
3.06290552516656,
-0.71452686955592,
1.48156242574682,-0.160326194343670,
0.928782699478418,
-0.0355280924405141,
0.655646250946056,
0.00479758937537755,
1.49627103778231,
0.0198475125815083,
0.393392001962976,
22.8600930841128,
1.77787068862289,
3.98895220359587,
0.426386198171643,
1.77004071840306,
0.150012933850292,
1.03200717867002,
0.0581187418116036,
0.688201978241848,
0.0198475125815084,
1.49737469553178,
0.00180576588276177,-7.77999500777241,
2.38152535628331,
-0.67907945058379,
1.16413166251499,-0.176912900433233,
0.733076680070259,
-0.0571468424494,
0.518833473096149,-0.0154931330741029,
0.393392001962976,
0.00180576588276152,
1.3122308242166
),
.Dim = c(12L, 12L)
),
structure(
c(
1667.25617406901,
56.288946492654,
274.10014017619,
-1.05331789738936,
118.574463240461,-8.31030248037923,
68.0048525590383,
-8.98275406451293,
44.7945139161181,-8.37398691744668,
32.0545937572277,
-7.54643154813351,
24.2414993669381,
56.2889464926538,
28.2541969838992,
15.0191035594941,
11.0783715790693,
7.6175301070134,
6.3756188462112,
4.79368971674345,
4.26874401018427,
3.36993937703337,
3.11389141663877,
2.53510854728756,
2.40076110385970,
1.99647394938093,
274.10014017619,
15.0191035594941,
47.3980712860211,
2.35156188792749,
20.3261069406201,
0.145120086293785,
11.7539567735092,-0.438971145967781,
7.79052484649704,
-0.6058563090607,
5.60291756054354,-0.638080668169405,
4.25525447979026,
-1.05331789738939,
11.0783715790693,
2.35156188792748,
5.87273752509093,
1.50840083884532,
2.92322805203970,
1.05135578933663,
2.01001177046684,
0.785615041963906,
1.4943540300183,
0.61636595036856,
1.16895762639947,
0.500885714879348,
118.574463240461,
7.6175301070134,
20.3261069406201,
1.50840083884532,
9.95258989776372,
0.356922790272102,
5.19502248359723,
0.0121485903793083,
3.45219315915723,-0.111986909587747,
2.4879714129735,
-0.158675653760872,
1.89283976331893,-8.31030248037926,
6.3756188462112,
0.145120086293781,
2.92322805203970,
0.356922790272102,
2.78907644742515,
0.316255476470469,
1.24523335833218,
0.264070317248363,
0.933590616933853,
0.221419689983612,
0.734890591406715,
0.188265452920355,
68.0048525590383,
4.79368971674346,
11.7539567735092,
1.05135578933663,
5.19502248359723,
0.316255476470471,
4.02128682794359,
0.0835923465229277,
2.01101888279185,
-0.00730055593385933,
1.45124000332931,-0.0464972734947861,
1.10531638583641,
-8.98275406451294,
4.26874401018426,-0.438971145967785,
2.01001177046684,
0.0121485903793072,
1.24523335833218,
0.083592346522926,
1.87299339787260,
0.0933590073465376,
0.657732176824213,
0.0890987246991117,
0.519620442638047,
0.0816793931780217,
44.7945139161181,
3.36993937703337,
7.79052484649704,
0.785615041963907,
3.45219315915723,
0.264070317248363,
2.01101888279185,
0.0933590073465384,
2.34020169187774,
0.0236428389346184,
0.96808992391034,
-0.00838327477666626,
0.737930606452137,-8.37398691744668,
3.11389141663877,
-0.605856309060702,
1.4943540300183,-0.111986909587747,
0.933590616933854,
-0.00730055593386019,
0.657732176824214,
0.0236428389346183,
1.49718890808945,
0.0334796395452239,
0.39373829229989,
0.0359413968098299,
32.0545937572277,
2.53510854728756,
5.60291756054354,
0.61636595036856,
2.4879714129735,
0.221419689983613,
1.45124000332931,
0.0890987246991124,
0.96808992391034,
0.0334796395452240,
1.69983781489628,
0.00694883871392815,
0.533798381705934,
-7.54643154813352,
2.40076110385969,
-0.638080668169408,
1.16895762639947,
-0.158675653760873,
0.734890591406715,
-0.0464972734947870,
0.519620442638048,
-0.00838327477666646,
0.39373829229989,
0.00694883871392789,
1.31236147121161,
0.0135598224648768,
24.2414993669381,
1.99647394938094,
4.25525447979026,
0.500885714879348,
1.89283976331893,
0.188265452920356,
1.10531638583641,
0.0816793931780223,
0.737930606452138,
0.0359413968098300,
0.533798381705934,
0.0135598224648771,
1.40737094837924
),
.Dim = c(13L, 13L)
),
structure(
c(
1725.02315628199,
39.8345950081936,
279.421467469139,
-9.15847199029239,
120.063091425293,-13.4308674399428,
68.5501500778068,
-12.6135507804251,
44.9995305604056,-11.1303350892035,
32.1115643512323,
-9.73606687615795,
24.2270262199865,-8.55173420601856,
39.8345950081937,
32.9410556772693,
13.5033762999478,
13.387044270138,
7.19350914478752,
7.83416094787686,
4.63836713118251,
5.30294041518375,
3.31154242091752,
3.89900983366959,
2.51888103907972,
3.02445699258248,
2.00059648162909,
2.43587660350581,
279.421467469140,
13.5033762999478,
47.8882565626956,
1.60493853950565,
20.4632350626988,-0.326571544994106,
11.8041880034999,
-0.773429636256977,
7.80941038669615,-0.859763129069919,
5.60816552685864,
-0.839783540402773,
4.25392125536112,-0.787761016573657,
-9.1584719902924,
13.3870442701380,
1.60493853950564,
7.00995329010345,
1.29953479871553,
3.64168289337145,
0.974846332779237,
2.51944061260396,
0.756849622170666,
1.88109098268518,
0.608372535696881,
1.47618038689426,
0.50291640926165,
1.19987440655769,
120.063091425293,
7.1935091447875,
20.4632350626988,
1.29953479871553,
9.99095115168064,
0.224968219874974,
5.20907454628889,
-0.0814153473172009,
3.45747634244567,-0.183016716208951,
2.48943951860577,
-0.215101534755947,
1.89246679707339,-0.220374201326746,
-13.4308674399428,
7.83416094787685,
-0.326571544994108,
3.64168289337145,
0.224968219874975,
3.24297215913941,
0.267919363691790,
1.56707344286830,
0.245897288216201,
1.17791807396867,
0.216369718248842,
0.92898364431331,
0.189548377634478,
0.758040472972113,
68.5501500778068,
4.63836713118251,
11.8041880034999,
0.974846332779236,
5.20907454628889,
0.267919363691792,
4.02643422136089,
0.0493190581411366,
2.01295415901985,-0.0333193950931084,
1.45177778325768,
-0.0671665670191128,
1.10517976503995,-0.0807249966165048,
-12.6135507804251,
5.30294041518374,
-0.773429636256978,
2.51944061260396,
-0.0814153473171991,
1.56707344286830,
0.0493190581411363,
2.10119788921493,
0.0804732077034859,
0.8309754293978,
0.08551798293822,
0.657244401056624,
0.0825890660120881,
0.537497499109961,
44.9995305604056,
3.31154242091752,
7.80941038669615,
0.756849622170667,
3.45747634244567,
0.245897288216202,
2.01295415901985,
0.0804732077034861,
2.34092930171345,
0.0138604817643320,
0.968292114150518,
-0.0161543521285393,
0.737879240846649,-0.0303503451725615,
-11.1303350892035,
3.89900983366959,
-0.85976312906992,
1.88109098268518,
-0.183016716208951,
1.17791807396867,
-0.0333193950931089,
0.8309754293978,
0.0138604817643317,
1.62870789961206,
0.0307612909902312,
0.498216613687174,
0.0366319821687078,
0.408045496599316,
32.1115643512323,
2.51888103907971,
5.60816552685864,
0.608372535696881,
2.48943951860577,
0.216369718248842,
1.45177778325767,
0.0855179829382201,
0.968292114150518,
0.0307612909902313,
1.69989400008129,
0.00478939017586292,
0.533784108088963,-0.00843383813401006,
-9.73606687615795,
3.02445699258248,
-0.839783540402774,
1.47618038689426,
-0.215101534755946,
0.92898364431331,
-0.0671665670191128,
0.657244401056624,
-0.0161543521285395,
0.498216613687174,
0.00478939017586278,
1.39535875938674,
0.0141084215549004,
0.324150208580381,
24.2270262199865,
2.00059648162909,
4.25392125536112,
0.50291640926165,
1.89246679707339,
0.189548377634477,
1.10517976503995,
0.0825890660120875,
0.737879240846648,
0.0366319821687076,
0.533784108088963,
0.0141084215549001,
1.40737457453342,
0.00214258216586551,
-8.55173420601856,
2.43587660350580,
-0.787761016573658,
1.19987440655769,
-0.220374201326746,
0.758040472972113,
-0.0807249966165052,
0.53749749910996,
-0.0303503451725618,
0.408045496599316,
-0.0084338381340102,
0.324150208580381,
0.00214258216586556,
1.26598543196973
),
.Dim = c(14L,
14L)
),
structure(
c(
2211.56077139487,
81.7722258195251,
365.250563442343,
1.71319662944353,
158.319279643632,
-9.16197931259021,
90.9182253384846,-10.637414283462,
59.9468919589412,
-10.1587634693626,
42.9321089483646,-9.26829291291937,
32.4898818504405,
-8.3592255398479,
25.5776896387275,
81.7722258195251,
36.5559146798142,
20.9015071494186,
14.3241393902590,
10.4910422602431,
8.20212233194836,
6.56640733425034,
5.47327561696091,
4.59994624513139,
3.98275548998477,
3.45156946931917,
3.06477727032482,
2.71282217212768,
2.45247009416114,
2.20469635184724,
365.250563442343,
20.9015071494186,
63.0291901447132,
3.5227871505235,
27.2119302265845,
0.426494194221987,
15.7500939697614,
-0.424823477584857,
10.4462435444437,-0.688370185926527,
7.51699545462101,
-0.757264501509441,
5.71155455418515,-0.753800960308323,
4.51210741078228,
1.71319662944351,
14.3241393902590,
3.5227871505235,
7.25288040386817,
2.15436819297947,
3.73707107231941,
1.47466031291514,
2.56359732418187,
1.09084797053394,
1.90280072179507,
0.850157284688595,
1.48663278226782,
0.687549673939804,
1.20417600700958,
0.571532718485098,
158.319279643632,
10.4910422602431,
27.2119302265844,
2.15436819297947,
12.9990144371009,
0.560628572970479,
6.96786414584724,
0.0739671913081214,
4.63277924455991,
-0.106622567839548,
3.34025305876089,-0.178320722285484,
2.54217064401290,
-0.205237349544017,
2.01115983351545,-9.16197931259023,
8.20212233194837,
0.426494194221989,
3.73707107231941,
0.560628572970477,
3.2804274457972,
0.464177182092702,
1.58441209329918,
0.377045655017508,
1.18644265752394,
0.311309334277236,
0.933087899885595,
0.262046793385313,
0.759729546815329,
0.224419021741117,
90.9182253384846,
6.56640733425035,
15.7500939697614,
1.47466031291514,
6.96786414584725,
0.464177182092704,
5.0547838809268,
0.140169936914790,
2.70014399661015,
0.0113476284600390,
1.94924138810973,
-0.0456611316946967,
1.48505620391966,-0.0718746051986926,
1.17590843762528,
-10.637414283462,
5.47327561696092,-0.424823477584859,
2.56359732418188,
0.0739671913081197,
1.58441209329918,
0.140169936914788,
2.10922422743284,
0.141183881401531,
0.834921595280443,
0.129467047576210,
0.65914432651433,
0.116149740610060,
0.538279398369924,
0.103887149591440,
59.9468919589412,
4.59994624513139,
10.4462435444437,
1.09084797053394,
4.63277924455991,
0.377045655017508,
2.70014399661015,
0.141183881401532,
2.80014068812721,
0.0437090107890668,
1.30071983525237,-0.00178344582208682,
0.991729889708947,
-0.0244361126112514,
0.785795299056045,
-10.1587634693626,
3.98275548998478,
-0.688370185926527,
1.90280072179507,
-0.106622567839549,
1.18644265752394,
0.0113476284600379,
0.834921595280442,
0.0437090107890663,
1.63064804027777,
0.0523689400501235,
0.499150715991016,
0.0531321576536573,
0.408429918997122,
0.0510763332210758,
42.9321089483646,
3.45156946931917,
7.51699545462101,
0.850157284688596,
3.34025305876089,
0.311309334277236,
1.94924138810973,
0.129467047576211,
1.30071983525237,
0.0523689400501238,
1.94054175627042,
0.0151926331592977,
0.717549134824356,
-0.00415246595860141,
0.56884508582805,
-9.26829291291937,
3.06477727032483,
-0.757264501509442,
1.48663278226782,
-0.178320722285485,
0.933087899885594,
-0.0456611316946977,
0.65914432651433,
-0.00178344582208704,
0.499150715991016,
0.0151926331592976,
1.39580849333102,
0.0220526145748556,
0.324335293019764,
0.0245912687552914,
32.4898818504405,
2.71282217212768,
5.71155455418515,
0.687549673939804,
2.54217064401290,
0.262046793385313,
1.48505620391966,
0.116149740610060,
0.991729889708947,
0.0531321576536573,
0.717549134824356,
0.0220526145748556,
1.54770243624229,
0.00541195182356463,
0.434385236167882,
-8.3592255398479,
2.45247009416114,
-0.753800960308323,
1.20417600700958,
-0.205237349544018,
0.759729546815328,
-0.0718746051986931,
0.538279398369924,
-0.0244361126112516,
0.408429918997122,
-0.00415246595860139,
0.324335293019764,
0.00541195182356462,
1.26606160200345,
0.0101203417025442,
25.5776896387275,
2.20469635184724,
4.51210741078228,
0.571532718485098,
2.01115983351545,
0.224419021741116,
1.17590843762528,
0.103887149591440,
0.785795299056045,
0.0510763332210758,
0.56884508582805,
0.0245912687552914,
0.434385236167882,
0.0101203417025442,
1.34464055179653
),
.Dim = c(15L,
15L)
),
structure(
c(
2281.70463581081,
62.9938098561674,
371.984936235228,-7.6018810694523,
160.298007976291,
-15.0642327617156,
91.6986494030292,-14.8294691911718,
60.2838167981489,
-13.3447132374785,
43.0701024886997,-11.8012259179920,
32.5281076796795,
-10.4389280844588,
25.5624332450559,-9.29580294261557,
62.9938098561675,
41.5831385008492,
19.0986288134375,
16.8179056692723,
9.96131119938987,
9.78223160182238,
6.35747776023804,
6.59554270979061,
4.50974712605186,
4.8356752782226,
3.41462682120104,
3.74287606018268,
2.70258862528722,
3.00923325210523,
2.20878068493592,
2.4886061784968,
371.984936235228,
19.0986288134374,
63.6757438709884,
2.62846508341811,
27.4019039949087,
-0.140169410293797,
15.8250209306710,-0.827294324492114,
10.4785910275668,
-0.994246881152836,
7.53024393973575,-1.0004463572232,
5.71522453995708,
-0.95346906172208,
4.51064267479532,-0.892471536123538,
-7.60188106945226,
16.8179056692723,
2.62846508341812,
8.48991907088004,
1.89159384603821,
4.5208880167491,
1.37102030305931,
3.12030057268942,
1.04610448395684,
2.32589360214598,
0.83183179662329,
1.82300529246151,
0.682473298800441,
1.48035968971498,
0.573558761583967,
1.23447898693345,
160.298007976292,
9.96131119938988,
27.4019039949087,
1.89159384603821,
13.0548335147499,
0.394128534462044,
6.98987957400819,-0.0442888797974801,
4.64228374977717,
-0.196496844444138,
3.34414579735243,-0.249773676063034,
2.54324897826171,
-0.263904866408272,
2.01072945719284,-0.262230614332889,
-15.0642327617155,
9.78223160182239,
-0.140169410293786,
4.5208880167491,
0.394128534462045,
3.77707239211818,
0.398508421679561,
1.93715243265599,
0.348695124135014,
1.45452430891456,
0.299697871803554,
1.14622147457573,
0.258830282085708,
0.934726057476059,
0.225702770546554,
0.782195070618233,
91.6986494030293,
6.35747776023806,
15.8250209306711,
1.37102030305932,
6.9898795740082,
0.398508421679561,
5.06346691722051,
0.0935289290783922,
2.70389263884191,
-0.0240994044086715,
1.95077671098532,-0.073842668134343,
1.48548150636438,
-0.095013477378571,
1.17573869424338,-0.103425557975155,
-14.8294691911718,
6.59554270979062,
-0.827294324492104,
3.12030057268942,
-0.0442888797974785,
1.93715243265599,
0.093528929078392,
2.35975682205858,
0.121048015812824,
1.0253256523183,
0.121220046889439,
0.8105217038972,
0.113865224688235,
0.662570059160878,
0.104798927698991,
0.555551318294857,
60.2838167981489,
4.50974712605186,
10.4785910275668,
1.04610448395684,
4.64228374977716,
0.348695124135013,
2.70389263884191,
0.121048015812822,
2.8017590527299,
0.0284058103979765,
1.30138266516301,-0.0139499845860510,
0.991913501368663,
-0.034425631313817,
0.785722017407933,-0.0446509033666429,
-13.3447132374785,
4.83567527822261,
-0.994246881152834,
2.32589360214598,
-0.196496844444138,
1.45452430891456,
-0.0240994044086724,
1.02532565231830,
0.0284058103979770,
1.77535458032153,
0.0461012430604366,
0.614197090856955,
0.0513959320717841,
0.502890466543306,
0.0517692819811206,
0.422217416676222,
43.0701024886997,
3.41462682120104,
7.53024393973575,
0.831831796623288,
3.34414579735243,
0.299697871803553,
1.95077671098531,
0.121220046889438,
1.30138266516301,
0.0461012430604363,
1.94081323000982,
0.0102096115404868,
0.717624336234322,
-0.00824385042069897,
0.568815072030027,
-0.0182875689702926,
-11.8012259179920,
3.74287606018269,-1.00044635722320,
1.82300529246151,
-0.249773676063032,
1.14622147457573,-0.0738426681343433,
0.8105217038972,
-0.0139499845860504,
0.614197090856955,
0.0102096115404873,
1.48727407854777,
0.0206722591390660,
0.399434480380296,
0.0251421854090041,
0.335676488285697,
32.5281076796795,
2.70258862528722,
5.71522453995709,
0.682473298800441,
2.54324897826171,
0.258830282085707,
1.48548150636438,
0.113865224688235,
0.991913501368663,
0.0513959320717841,
0.717624336234322,
0.0206722591390657,
1.54772326791488,
0.00427859033846914,
0.434376921993761,
-0.00506587110527014,
-10.4389280844588,
3.00923325210523,-0.953469061722077,
1.48035968971498,
-0.263904866408271,
0.934726057476059,-0.0950134773785713,
0.662570059160878,
-0.0344256313138164,
0.502890466543307,
-0.00824385042069861,
0.399434480380296,
0.00427859033846937,
1.32772291351036,
0.0105726800645549,
0.275612203503122,
25.5624332450559,
2.20878068493592,
4.51064267479532,
0.573558761583967,
2.01072945719284,
0.225702770546553,
1.17573869424338,
0.104798927698990,
0.785722017407933,
0.0517692819811205,
0.568815072030027,
0.0251421854090037,
0.434376921993761,
0.0105726800645547,
1.34464387008456,
0.00202185081104250,
-9.29580294261556,
2.4886061784968,
-0.892471536123537,
1.23447898693345,
-0.26223061433289,
0.782195070618233,
-0.103425557975156,
0.555551318294856,
-0.0446509033666429,
0.422217416676222,
-0.0182875689702925,
0.335676488285697,
-0.00506587110527012,
0.275612203503121,
0.00202185081104253,
1.23192460334437
),
.Dim = c(16L,
16L)
),
structure(
c(
2836.65208921483,
112.643335587721,
470.29445005428,
5.59415596509935,
204.191833405888,
-9.71852462020793,
117.39053655333,-12.2481105528553,
77.4657976017784,
-11.9933259901707,
55.5160548474411,-11.0775343811381,
42.0370780681148,
-10.0652489059055,
33.1101684197937,-9.1318971795888,
26.8385043262545,
112.643335587721,
46.0251363697426,
27.8940935120780,
17.9985165114031,
13.8883633946119,
10.2604964759059,
8.65605576854612,
6.82648931806745,
6.04696870044804,
4.95657994315436,
4.52812978098336,
3.80762262557437,
3.55332839728775,
3.04266523539871,
2.88405447793103,
2.50327034777815,
2.40116249379926,
470.29445005428,
27.8940935120781,
81.0913756538808,
4.96615665628225,
35.1777404478428,
0.80682830126714,
20.376365241465,
-0.370003978948770,
13.5223966507693,-0.754847236287038,
9.73505723854037,
-0.872243654955303,
7.39974845311801,-0.887271409777643,
5.84773174676412,
-0.863435461128566,
4.75446872629174,
5.59415596509935,
17.9985165114031,
4.96615665628225,
8.80370624541194,
2.93534049701243,
4.64800304751206,
1.98194498114064,
3.18168242782141,
1.45467299548145,
2.35802809714029,
1.12778278666532,
1.84021387728041,
0.90858610396165,
1.48924536753726,
0.753035561201462,
1.23837648480613,
0.638189967120269,
204.191833405888,
13.8883633946119,
35.1777404478428,
2.93534049701243,
16.5266359332056,
0.816949791720957,
9.02199126785387,
0.159884875296709,
6.00130046623035,
-0.0896082452492687,
4.32856415406114,-0.192532959327241,
3.29536538799557,
-0.234348538994766,
2.60772106084215,-0.249266412217761,
2.12280390956308,
-9.71852462020798,
10.2604964759059,
0.80682830126713,
4.64800304751206,
0.816949791720951,
3.82856662884081,
0.645993709642627,
1.96201819211550,
0.514206028105817,
1.46754197710272,
0.419587472962793,
1.15319266386001,
0.350428468744669,
0.938325641211166,
0.298408734194191,
0.783773945098121,
0.258530443202864,
117.39053655333,
8.65605576854612,
20.376365241465,
1.98194498114064,
9.02199126785387,
0.645993709642629,
6.25290036951392,
0.213035693950066,
3.49935085586358,
0.0384645166278548,
2.52697541505614,
-0.0403385927801189,
1.92570948225053,-0.0777135992965582,
1.52516918385145,
-0.0958373650009562,
1.24251732340325,-12.2481105528553,
6.82648931806745,
-0.370003978948772,
3.18168242782141,
0.159884875296708,
1.96201819211550,
0.213035693950066,
2.37176410739478,
0.200970636051521,
1.03161168016320,
0.179112855363914,
0.813887981891058,
0.158096552723208,
0.664308241703399,
0.139907497480736,
0.556313732023703,
0.124840297143776,
77.4657976017784,
6.04696870044804,
13.5223966507693,
1.45467299548145,
6.00130046623035,
0.514206028105819,
3.49935085586358,
0.200970636051521,
3.3337381843133,
0.0702467263244978,
1.68672746348411,
0.00845655862394869,
1.28632506353404,
-0.0228559801094753,
1.01941088306133,-0.0395761424020555,
0.830959153525712,
-11.9933259901707,
4.95657994315436,-0.754847236287042,
2.35802809714029,
-0.0896082452492717,
1.46754197710272,
0.038464516627854,
1.03161168016320,
0.0702467263244969,
1.77864542791618,
0.0764091599542554,
0.615959397374257,
0.0745518205061524,
0.503800436078959,
0.0701492439011771,
0.422616553849587,
0.0653561202252395,
55.5160548474411,
4.52812978098336,
9.73505723854037,
1.12778278666532,
4.32856415406114,
0.419587472962794,
2.52697541505614,
0.179112855363913,
1.68672746348411,
0.0764091599542553,
2.21994187393079,
0.0264400317989493,
0.93088451376862,
0.000136750706854249,
0.738090112081059,
-0.0146116113540486,
0.601914188767834,
-11.0775343811381,
3.80762262557437,
-0.872243654955305,
1.84021387728041,
-0.192532959327242,
1.15319266386001,
-0.0403385927801197,
0.813887981891058,
0.00845655862394857,
0.615959397374257,
0.0264400317989496,
1.48821782454986,
0.033072642908909,
0.399921785002314,
0.034984976892898,
0.335890233231852,
0.0349993469176749,
42.0370780681148,
3.55332839728775,
7.39974845311801,
0.908586103961651,
3.29536538799557,
0.35042846874467,
1.92570948225053,
0.158096552723208,
1.28632506353404,
0.074551820506153,
0.93088451376862,
0.0330726429089092,
1.71065854636963,
0.0106815465496282,
0.563706626700202,
-0.00225736187154656,
0.459875149156622,
-10.0652489059055,
3.04266523539871,
-0.887271409777645,
1.48924536753726,
-0.234348538994766,
0.938325641211167,
-0.077713599296558,
0.664308241703399,
-0.0228559801094752,
0.503800436078959,
0.000136750706854587,
0.399921785002314,
0.0106815465496281,
1.32797453396133,
0.0156550197757023,
0.275722571017225,
0.0180719637305300,
33.1101684197937,
2.88405447793103,
5.84773174676412,
0.753035561201464,
2.60772106084215,
0.298408734194193,
1.52516918385145,
0.139907497480737,
1.01941088306133,
0.0701492439011778,
0.738090112081059,
0.0349849768928984,
0.563706626700202,
0.0156550197757024,
1.44729918622041,
0.00425110204077948,
0.365025412582910,
-9.1318971795888,
2.50327034777815,
-0.863435461128566,
1.23837648480613,
-0.249266412217763,
0.783773945098121,
-0.0958373650009565,
0.556313732023703,
-0.0395761424020557,
0.422616553849587,
-0.0146116113540486,
0.335890233231852,
-0.00225736187154671,
0.275722571017225,
0.00425110204077922,
1.23197301351184,
0.0079268505569946,
26.8385043262545,
2.40116249379926,
4.75446872629173,
0.638189967120268,
2.12280390956308,
0.258530443202864,
1.24251732340325,
0.124840297143776,
0.830959153525712,
0.0653561202252397,
0.601914188767834,
0.0349993469176749,
0.459875149156622,
0.0180719637305299,
0.365025412582910,
0.00792685055699466,
1.29797030340870
),
.Dim = c(17L,
17L)
),
structure(
c(
2924.03948019569,
91.0026805723211,
479.082824789297,-5.24191390578497,
206.906889760163,
-16.6112007506642,
118.535529409201,-17.1543652651036,
78.0140088568987,
-15.7274675244308,
55.7884483272507,-14.0494010485901,
42.166172520358,
-12.5072959384568,
33.1590218846548,-11.1881847766414,
26.8388418158651,
-10.2777316330393,
91.0026805723212,
51.3842384580592,
25.7177362178357,
20.6819660018569,
13.2160055492707,
11.9674020671875,
8.37250919379839,
8.04147656570315,
5.91120940480739,
5.88130452658579,
4.46067413024592,
4.54357709887413,
3.52135938580996,
3.64741492262317,
2.87195638268638,
3.01249038514241,
2.40107891771271,
2.54518234399728,
479.082824789297,
25.7177362178356,
81.9752048838911,
3.87639483125218,
35.4507882228172,
0.113645679821434,
20.4915148777389,-0.863416180327189,
13.5775291577582,
-1.13038236496234,
9.76245130476782,-1.17111832832480,
7.4127312233989,
-1.13286318453668,
5.85264484179426,-1.07023218274926,
4.75450266694556,
-1.03361086768973,
-5.24191390578492,
20.6819660018569,
3.87639483125220,
10.1473830496878,
2.59867247170659,
5.50269752126798,
1.83996542953124,
3.79005988674019,
1.38669459038511,
2.82106307414313,
1.09400589109267,
2.20872647954623,
0.892578342559246,
1.79206013263994,
0.74697771289309,
1.49335693251457,
0.63814811828002,
1.27444264945094,
206.906889760163,
13.2160055492707,
35.4507882228172,
2.59867247170659,
16.6109905629090,
0.602799856406373,
9.05756528023798,
0.00745146490876647,
6.01833295152393,
-0.205625036533583,
4.33702720164661,-0.284866480089447,
3.29937624939041,
-0.31022098739626,
2.60923889892753,-0.313153623449324,
2.12281439509553,
-0.319320902757987,
-16.6112007506642,
11.9674020671875,
0.113645679821440,
5.50269752126799,
0.602799856406375,
4.37222611685482,
0.555682454911708,
2.34899878926571,
0.470965892542152,
1.76207220545872,
0.398102450750045,
1.38759849989419,
0.340246150225564,
1.13094197981385,
0.294555419575999,
0.945963527353856,
0.258503823726811,
0.810655572931173,
118.535529409201,
8.37250919379839,
20.4915148777389,
1.83996542953124,
9.05756528023798,
0.55568245491171,
6.2679026327158,
0.148751515975289,
3.50653379110851,
-0.0104620542597434,
2.53054444927127,-0.0792774610151742,
1.92740094166938,
-0.109710508399435,
1.52580928613202,-0.122779863018094,
1.24252174535929,
-0.134663927623972,
-17.1543652651036,
8.04147656570314,
-0.863416180327185,
3.79005988674019,
0.00745146490876721,
2.34899878926571,
0.148751515975288,
2.64721958250804,
0.170192007424219,
1.24126034106371,
0.163819667423694,
0.980739683008915,
0.150848707725052,
0.801413888485434,
0.137164681389349,
0.671761402443555,
0.124821349215947,
0.577030263634357,
78.0140088568987,
5.91120940480739,
13.5775291577582,
1.38669459038512,
6.01833295152393,
0.470965892542152,
3.50653379110851,
0.170192007424219,
3.33717730266757,
0.0468211680798582,
1.6884362817677,-0.0101869863715971,
1.28713491757485,
-0.0381757837302924,
1.01971735770252,-0.0524759439844438,
0.830961270714553,
-0.0644757566855298,-15.7274675244308,
5.88130452658578,
-1.13038236496233,
2.82106307414313,-0.205625036533584,
1.76207220545872,
-0.0104620542597442,
1.24126034106371,
0.0468211680798575,
1.93820864225891,
0.0647695424398446,
0.742949923498118,
0.0690354988659515,
0.608151294372603,
0.0680616915647413,
0.510483565741995,
0.0653416989918433,
0.439176683710025,
55.7884483272507,
4.46067413024592,
9.76245130476783,
1.09400589109267,
4.33702720164660,
0.398102450750046,
2.53054444927127,
0.163819667423695,
1.6884362817677,
0.064769542439845,
2.22079094617128,
0.0171764859489573,
0.931286911490793,
-0.00747530500938581,
0.738242392234413,
-0.021021224088259,
0.601915240749969,
-0.03203651067496,-14.0494010485901,
4.54357709887413,
-1.1711183283248,
2.20872647954623,-0.284866480089447,
1.38759849989419,
-0.0792774610151746,
0.980739683008915,-0.0101869863715972,
0.742949923498117,
0.0171764859489572,
1.58928493949639,
0.0286824042800148,
0.482970816389476,
0.0333235703424761,
0.405820374180135,
0.0349878695854828,
0.349524659273122,
42.166172520358,
3.52135938580996,
7.41273122339891,
0.892578342559246,
3.29937624939041,
0.340246150225564,
1.92740094166938,
0.150848707725053,
1.28713491757485,
0.0690354988659515,
0.931286911490793,
0.0286824042800148,
1.71084925326016,
0.00707399263972138,
0.563778796280048,
-0.00529504634762847,
0.459875647718712,
-0.0151829471109189,-12.5072959384568,
3.64741492262317,
-1.13286318453667,
1.79206013263994,-0.310220987396259,
1.13094197981385,
-0.109710508399435,
0.801413888485435,-0.0381757837302922,
0.608151294372603,
-0.00747530500938585,
0.482970816389477,
0.00707399263972142,
1.39621771689966,
0.0142898061270691,
0.333185678315728,
0.0180625325587579,
0.287211962208656,
33.1590218846548,
2.87195638268638,
5.85264484179426,
0.74697771289309,
2.60923889892753,
0.294555419575998,
1.52580928613202,
0.137164681389349,
1.01971735770252,
0.0680616915647413,
0.738242392234413,
0.0333235703424760,
0.563778796280048,
0.0142898061270690,
1.44732649749502,
0.00310154519130248,
0.365025601254752,-0.00574571223046452,
-11.1881847766414,
3.01249038514241,
-1.07023218274925,
1.49335693251457,
-0.313153623449323,
0.945963527353857,
-0.122779863018094,
0.671761402443556,
-0.0524759439844437,
0.510483565741995,
-0.0210212240882589,
0.405820374180135,
-0.00529504634762835,
0.333185678315728,
0.0031015451913026,
1.28035892633456,
0.00791890918597106,
0.241842351004092,
26.8388418158651,
2.40107891771271,
4.75450266694556,
0.63814811828002,
2.12281439509553,
0.258503823726811,
1.24252174535929,
0.124821349215947,
0.830961270714553,
0.0653416989918431,
0.601915240749969,
0.0349878695854828,
0.459875647718711,
0.0180625325587578,
0.365025601254752,
0.00791890918597096,
1.29797030471212,-3.96925411621815e-05,
-10.2777316330393,
2.54518234399728,
-1.03361086768972,
1.27444264945094,
-0.319320902757986,
0.810655572931173,
-0.134663927623972,
0.577030263634358,
-0.0644757566855298,
0.439176683710025,
-0.0320365106749598,
0.349524659273122,
-0.0151829471109188,
0.287211962208656,
-0.00574571223046431,
0.241842351004092,
-3.96925411620290e-05,
1.20877584667009
),
.Dim = c(18L,
18L)
),
structure(
c(
3514.22547602292,
146.764258793439,
584.307181588571,
10.0893653817167,
254.009531730345,
-10.1490637329552,
146.150218816549,-13.8753902906288,
96.5037555201956,
-13.8937698076466,
69.194222872542,-12.9697624988619,
52.4164054437707,
-11.8586561612077,
41.3005194355219,-10.8047094966945,
33.4887198232198,
-10.1001392503231,
27.1798743224057,
146.764258793439,
56.652668457575,
35.6594770316032,
22.1304861891612,
17.6663274362891,
12.5779535904978,
10.9815827304916,
8.35127859560063,
7.65814589964746,
6.05455478903075,
5.72727000206797,
4.64558282226794,
4.48981537931831,
3.70869929387591,
3.64117618073227,
3.04872165286113,
3.02936846590553,
2.56196151464915,
2.56799161414358,
584.307181588571,
35.6594770316032,
100.735672502751,
6.60981109890912,
43.8487258897588,
1.26578113549954,
25.4149423254321,
-0.278807200972408,
16.8740690854804,-0.803452101999248,
12.1525690200267,
-0.97862939640491,
9.24024691173218,-1.01721709357885,
7.30419375896587,
-1.00186231296899,
5.9401104940794,-1.00194789300737,
4.84590419576402,
10.0893653817168,
22.1304861891612,
6.60981109890913,
10.5456441508548,
3.82225921271678,
5.67056464809431,
2.55731304322424,
3.87523791784541,
1.86700329315745,
2.86869709464457,
1.44224809790931,
2.23677228248376,
1.15884895016750,
1.80890986755795,
0.95846963857986,
1.50331848134545,
0.810892198416451,
1.27905597209502,
0.706052409210554,
254.009531730345,
17.6663274362891,
43.8487258897588,
3.82225921271678,
20.3702442494717,
1.11854189105223,
11.2614888525839,
0.269145888944365,
7.49399642601885,
-0.0592779397778019,
5.40693974312394,-0.198700714678863,
4.11744556129565,
-0.258453159268509,
3.25901040647085,-0.282548527863411,
2.65354000556480,
-0.305147285493504,
2.16922105582738,-10.1490637329552,
12.5779535904978,
1.26578113549954,
5.67056464809432,
1.11854189105223,
4.44298214144864,
0.858044605002461,
2.38490134492194,
0.673416098419182,
1.78214995379351,
0.544886604479026,
1.39941981095085,
0.452479259928021,
1.13804414615694,
0.383699304851197,
0.950162322004103,
0.331315485030886,
0.812600089267607,
0.297601219340015,
146.150218816549,
10.9815827304915,
25.4149423254320,
2.55731304322423,
11.2614888525839,
0.858044605002455,
7.55998864705002,
0.302174125347234,
4.37166548677307,
0.075336309771224,
3.1577980658439,
-0.0287613806036763,
2.40700737173430,-0.0793607777846261,
1.90674839307026,
-0.104837128310724,
1.55366826030237,-0.126354414140946,
1.27174110001032,
-13.8753902906288,
8.35127859560064,-0.278807200972402,
3.87523791784541,
0.269145888944369,
2.38490134492194,
0.302174125347237,
2.66543702067036,
0.272917956569043,
1.25144805979409,
0.238299915274804,
0.986737974752663,
0.207797292537375,
0.805017622921855,
0.182397484120676,
0.673891927151312,
0.161766962503275,
0.578016937297755,
0.151006849269068,
96.5037555201956,
7.65814589964746,
16.8740690854804,
1.86700329315745,
7.49399642601885,
0.67341609841918,
4.37166548677308,
0.272917956569042,
3.91643661090263,
0.104268492279559,
2.10842146765861,
0.0236366614505229,
1.60826115800359,
-0.0178547574066054,
1.27477970794414,-0.0404621706519884,
1.03929315348904,
-0.0589120222205127,
0.851509514144203,-13.8937698076466,
6.05455478903075,
-0.803452101999244,
2.86869709464457,-0.0592779397777991,
1.78214995379351,
0.0753363097712267,
1.25144805979409,
0.104268492279559,
1.94390590945997,
0.106421052894566,
0.746304341863841,
0.100882795889369,
0.610166606980783,
0.0933571841311256,
0.511675016827344,
0.0860027553455959,
0.439728460182207,
0.0844474010564475,
69.194222872542,
5.72727000206798,
12.1525690200267,
1.44224809790931,
5.40693974312394,
0.544886604479026,
3.15779806584390,
0.238299915274804,
2.10842146765861,
0.106421052894566,
2.5252962926719,
0.0416999261701675,
1.16411573592840,
0.0072582174333552,
0.923172365835342,
-0.0123107782576066,
0.752963835515993,-0.0280025900796093,
0.617377013198748,
-12.9697624988619,
4.64558282226793,-0.978629396404913,
2.23677228248375,
-0.198700714678863,
1.39941981095085,-0.0287613806036758,
0.986737974752661,
0.0236366614505227,
0.74630434186384,
0.0416999261701665,
1.59125994298056,
0.0474333517542944,
0.484157385561501,
0.0482169677978249,
0.406521872856873,
0.0471526188314703,
0.349849532421378,
0.0497206648459026,
52.4164054437707,
4.48981537931831,
9.24024691173218,
1.15884895016749,
4.11744556129565,
0.452479259928019,
2.40700737173430,
0.207797292537374,
1.60826115800359,
0.100882795889369,
1.16411573592840,
0.0474333517542947,
1.88887325878904,
0.0183394392060648,
0.705178705515125,
0.00136507599959678,
0.575369405567246,
-0.0120985579503223,
0.472054648201643,
-11.8586561612077,
3.70869929387592,
-1.01721709357884,
1.80890986755795,
-0.258453159268508,
1.13804414615694,
-0.0793607777846247,
0.805017622921855,
-0.0178547574066047,
0.610166606980784,
0.00725821743335516,
0.484157385561502,
0.0183394392060652,
1.39693059989521,
0.0232376618796755,
0.333607134131228,
0.0253710343190887,
0.287407143870679,
0.0298718501469379,
41.3005194355219,
3.64117618073227,
7.30419375896588,
0.958469638579858,
3.25901040647085,
0.383699304851195,
1.90674839307026,
0.182397484120675,
1.27477970794414,
0.0933571841311252,
0.923172365835342,
0.0482169677978249,
0.705178705515125,
0.0232376618796751,
1.55963682481458,
0.00839150983733102,
0.456759335862533,
-0.00329586089688537,
0.374940919969803,
-10.8047094966945,
3.04872165286113,
-1.00186231296899,
1.50331848134545,
-0.282548527863410,
0.950162322004103,
-0.104837128310723,
0.673891927151311,
-0.040462170651988,
0.511675016827344,
-0.0123107782576067,
0.406521872856873,
0.00136507599959707,
0.333607134131228,
0.00839150983733125,
1.28060809065118,
0.0122396891579020,
0.241957742235266,
0.0176602121846702,
33.4887198232198,
3.02936846590552,
5.9401104940794,
0.810892198416449,
2.65354000556480,
0.331315485030885,
1.55366826030237,
0.161766962503274,
1.03929315348904,
0.0860027553455953,
0.752963835515992,
0.04715261883147,
0.575369405567246,
0.0253710343190882,
0.456759335862533,
0.0122396891579016,
1.37289732403374,
0.00196131678208227,
0.306247267432879,
-10.1001392503231,
2.56196151464915,
-1.00194789300736,
1.27905597209502,
-0.305147285493503,
0.812600089267606,
-0.126354414140945,
0.578016937297755,
-0.0589120222205123,
0.439728460182207,
-0.0280025900796093,
0.349849532421379,
-0.0120985579503221,
0.287407143870679,
-0.0032958608968851,
0.241957742235266,
0.00196131678208257,
1.20882928584795,
0.00817867363337702,
27.1798743224057,
2.56799161414358,
4.84590419576402,
0.706052409210551,
2.16922105582737,
0.297601219340013,
1.27174110001032,
0.151006849269067,
0.851509514144202,
0.0844474010564469,
0.617377013198748,
0.0497206648459024,
0.472054648201643,
0.0298718501469374,
0.374940919969803,
0.0176602121846698,
0.306247267432879,
0.00817867363337678,
1.25171653242394
),
.Dim = c(19L,
19L)
),
structure(
c(
3701.44840696554,
113.695992688020,
606.156294024484,-7.29785265102723,
261.720580984518,
-21.4254674486465,
149.912479484322,-21.9889858614517,
98.6519823783009,
-20.1125989387415,
70.5394160688073,-17.9441058508523,
53.3105294573092,
-15.9618877429192,
41.9195599395492,-14.2704851855762,
33.9271731796379,
-13.1021524738154,
27.4454665555356,-15.1974404066730,
113.695992688020,
62.4933537716879,
31.8003756888372,
25.2015050533901,
16.3043627057686,
14.5696493561071,
10.3170731199796,
9.78434310355065,
7.278715148079,
7.15295601336899,
5.48967513933847,
5.52417663999883,
4.33189064936172,
4.43343292107262,
3.53183809904523,
3.66086457875606,
2.95192660452802,
3.09219235564068,
2.52108136337265,
2.68424920473150,
606.156294024484,
31.8003756888373,
103.285486843514,
4.58070451547859,
44.7486134265318,
-0.0501870069509115,
25.8540020919339,-1.22567231516415,
17.1247694132892,
-1.52919598508461,
12.3095544771248,-1.55914048361626,
9.34459212203909,
-1.49606852341153,
7.37643643515306,-1.40632197142389,
5.99127846070652,
-1.35228598526935,
4.87689908797388,-1.77355723741429,
-7.29785265102731,
25.2015050533901,
4.58070451547857,
12.1603787851043,
3.10614129933777,
6.71779368699019,
2.20791542298021,
4.62873993017568,
1.66749947929491,
3.44623392448962,
1.31732126719582,
2.69873488501042,
1.07581249147425,
2.18997313684324,
0.900979927461777,
1.82518181962280,
0.770173446355448,
1.55785012509391,
0.681387107572845,
1.41137203952830,
261.720580984518,
16.3043627057686,
44.7486134265318,
3.10614129933777,
20.6878350504541,
0.654106770718798,
11.4164430409956,-0.0650243687263964,
7.58247427981921,
-0.315409480351710,
5.46234348528618,-0.403576294829211,
4.15427136181613,
-0.427450731673319,
3.28450649176802,-0.425291550346271,
2.67159834601481,
-0.428789574990051,
2.18015985900117,-0.625928730647604,
-21.4254674486465,
14.5696493561071,
-0.0501870069509175,
6.71779368699019,
0.654106770718802,
5.12215792466736,
0.631444316459798,
2.87358175806334,
0.54402877816485,
2.15670892244208,
0.463865858354223,
1.69902362323590,
0.398626330173345,
1.38518105199141,
0.346414605778272,
1.15890537318457,
0.304907517627792,
0.993410809928549,
0.281604646540819,
0.91533912330227,
149.912479484322,
10.3170731199796,
25.8540020919339,
2.20791542298022,
11.4164430409956,
0.631444316459799,
7.63559159408775,
0.139130734579959,
4.41483428758734,
-0.049631588774555,
3.18482983715205,-0.128721231926044,
2.42497486957939,
-0.161815564241015,
1.91918806447347,-0.174482184564970,
1.56247901766638,
-0.186680124341070,
1.27707819844879,-0.305393853225509,
-21.9889858614517,
9.78434310355065,
-1.22567231516415,
4.62873993017568,
-0.0650243687263969,
2.87358175806333,
0.139130734579957,
3.01705224619605,
0.179821219789791,
1.52095064817783,
0.180003885487548,
1.20230884518672,
0.169049044128582,
0.982837516136127,
0.155570405480643,
0.824086682340951,
0.142765907489780,
0.708113828052953,
0.139496998656737,
0.658604608691971,
98.6519823783009,
7.278715148079,
17.1247694132892,
1.66749947929491,
7.58247427981921,
0.544028778164849,
4.41483428758734,
0.179821219789791,
3.94108572098048,
0.0329126188398375,
2.12385643675679,-0.0334397764428412,
1.61852048473616,
-0.0649359148506206,
1.28188268101651,-0.080229053808465,
1.04432403977817,
-0.0933576181879014,
0.854556963330302,-0.174377943404751,
-20.1125989387415,
7.15295601336899,
-1.52919598508462,
3.44623392448962,
-0.31540948035171,
2.15670892244208,
-0.0496315887745566,
1.52095064817783,
0.0329126188398369,
2.15047160932960,
0.0617388839222937,
0.911532987680456,
0.0711834186058779,
0.74646025415069,
0.0727950280940695,
0.626794819232806,
0.071439013117131,
0.539443848634975,
0.0756254436816025,
0.504800798937453,
70.5394160688073,
5.48967513933848,
12.3095544771248,
1.31732126719582,
5.46234348528618,
0.463865858354224,
3.18482983715205,
0.180003885487550,
2.12385643675680,
0.061738883922295,
2.53496148019021,
0.00595936384012936,
1.17053999995195,
-0.0222234234031309,
0.927620160077449,-0.0372123106339053,
0.756114114538811,
-0.0495719979667634,
0.619285288340012,
-0.109193320138243,
-17.9441058508523,
5.52417663999884,-1.55914048361626,
2.69873488501042,
-0.403576294829209,
1.69902362323590,-0.128721231926044,
1.20230884518672,
-0.0334397764428402,
0.911532987680457,
0.00595936384012932,
1.72342373113910,
0.0236772882198089,
0.593176524602997,
0.0317696234457986,
0.498604387379542,
0.0355033110908794,
0.429610299148511,
0.0426641202626646,
0.403782198439627,
53.3105294573092,
4.33189064936172,
9.34459212203908,
1.07581249147426,
4.15427136181613,
0.398626330173344,
2.42497486957939,
0.169049044128582,
1.61852048473616,
0.0711834186058784,
1.17053999995195,
0.0236772882198084,
1.89314334337519,
-0.00125643973800671,
0.708135068697895,
-0.0151864930488915,
0.577463335369652,
-0.0264353280166915,
0.47332304194091,
-0.0725786971898078,
-15.9618877429192,
4.43343292107262,-1.49606852341153,
2.18997313684324,
-0.427450731673319,
1.38518105199141,-0.161815564241016,
0.982837516136128,
-0.0649359148506205,
0.746460254150691,-0.0222234234031314,
0.593176524602996,
-0.00125643973800679,
1.48685820293191,
0.0096705922174014,
0.409564070550109,
0.0157617645031750,
0.353200128764924,
0.0240510544071112,
0.333071473264385,
41.9195599395492,
3.53183809904524,
7.37643643515306,
0.900979927461779,
3.28450649176802,
0.346414605778272,
1.91918806447347,
0.155570405480644,
1.28188268101651,
0.0727950280940698,
0.927620160077448,
0.0317696234457983,
0.708135068697896,
0.0096705922174015,
1.56168364217665,
-0.00306785317168121,
0.458209053508693,-0.0132218233289650,
0.375819083499442,
-0.0502493531206952,-14.2704851855762,
3.66086457875606,
-1.40632197142389,
1.82518181962280,-0.425291550346271,
1.15890537318457,
-0.174482184564971,
0.824086682340952,-0.0802290538084651,
0.626794819232806,
-0.0372123106339058,
0.498604387379541,
-0.0151864930488915,
0.409564070550109,
-0.00306785317168127,
1.34476476774828,
0.00412326359120034,
0.297529484410813,
0.0127437038269759,
0.281327288434012,
33.9271731796379,
2.95192660452802,
5.99127846070652,
0.770173446355448,
2.67159834601481,
0.304907517627791,
1.56247901766638,
0.142765907489780,
1.04432403977817,
0.0714390131171311,
0.75611411453881,
0.0355033110908791,
0.577463335369652,
0.0157617645031748,
0.458209053508693,
0.00412326359120027,
1.37392412852179,
-0.00506903343847453,
0.306869252173055,
-0.0355905589218347,
-13.1021524738154,
3.09219235564068,-1.35228598526935,
1.55785012509391,
-0.42878957499005,
0.993410809928549,-0.186680124341070,
0.708113828052954,
-0.0933576181879012,
0.539443848634976,-0.0495719979667637,
0.429610299148511,
-0.0264353280166914,
0.353200128764924,
-0.0132218233289650,
0.297529484410813,
-0.00506903343847442,
1.25696486063390,
0.00392005321816716,
0.24368231409708,
27.4454665555356,
2.52108136337265,
4.87689908797388,
0.681387107572845,
2.18015985900117,
0.281604646540819,
1.27707819844879,
0.139496998656737,
0.854556963330302,
0.0756254436816024,
0.619285288340011,
0.0426641202626641,
0.47332304194091,
0.0240510544071110,
0.375819083499442,
0.0127437038269757,
0.306869252173055,
0.00392005321816693,
1.25209329842128,
-0.0215589090241893,
-15.1974404066730,
2.68424920473151,
-1.77355723741429,
1.41137203952830,
-0.625928730647603,
0.91533912330227,
-0.305393853225509,
0.658604608691971,
-0.174377943404751,
0.504800798937453,
-0.109193320138244,
0.403782198439627,
-0.0725786971898077,
0.333071473264385,
-0.0502493531206951,
0.281327288434012,
-0.0355905589218345,
0.24368231409708,
-0.0215589090241892,
1.23362129709203
),
.Dim = c(20L,
20L)
)
)
`sM22` <-
structure(
c(
1.10866489886031,
-0.257022055546625,
-0.257022055546625,
0.607927101854027
),
.Dim = c(2L, 2L)
)
`ddst.extr.Nk` <-
function(x,
base = ddst.base.legendre,
Dmax = 5,
n = length(x)) {
sx = sort(x)
er2 = sum(sx * (1:n - n:1)) / (n * (n - 1) * log(2))
er1 = mean(x) + 0.5772156649 * er2
maxN = max(min(Dmax, length(x) - 2, 20), 1)
u = NULL
for (j in 1:maxN)
u[j] = ddst.phi(1 - pgumbel(-x, -er1, er2), j, base)
coord = NULL
gg1 = mean(1 - exp((x - er1) / er2))
gg2 = mean((1 - exp((x - er1) / er2)) * (x - er1) / er2 + 1)
for (k in 1:Dmax) {
korekta = u[1:k] + t(MMextr12[[k]]) %*% sM22 %*% c(gg1, gg2)
coord[k] = t(korekta) %*% MMextr[[k]] %*% korekta * n
}
coord
}
pbiecek/ddst documentation built on Aug. 22, 2023, 7:44 p.m.
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
Defines functions `ddst.extr.Nk` `ddst.evd.test`
#' Data Driven Smooth Test for Extreme Value Distribution
#'
#' Performs data driven smooth test for composite hypothesis of extreme value distribution.
#' Null density is given by
#' \eqn{
#' f(z;\gamma)=1/\gamma_2 \exp((z-\gamma_1)/\gamma_2- \exp((z-\gamma_1)/\gamma_2))}, \eqn{z \in R}.
#'
#' We model alternatives similarly as in Kallenberg and Ledwina (1997) and Janic-Wroblewska (2004) using Legendre's polynomials or cosines.
#' For more details see: \url{http://www.biecek.pl/R/ddst/description.pdf}.
#'
#' @aliases ddst.extr.Nk
#'
#' @param x a (non-empty) numeric vector of data values
#' @param base a function which returns an orthonormal system, possible choice: \code{ddst.base.legendre} for the Legendre polynomials and \code{ddst.base.cos} for the cosine system
#' @param d.n an integer specifying the maximum dimension considered, only for advanced users
#' @param c a calibrating parameter in the penalty in the model selection rule
#' @param nr an integer specifying the number of runs for a p-value and a critical value computation if any
#' @param compute.p a logical value indicating whether to compute a p-value or not
#' @param alpha a significance level
#' @param compute.cv a logical value indicating whether to compute a critical value corresponding to the significance level alpha or not
#' @param ... further arguments
#'
#' @return
#' An object of class \code{htest}
#' \item{statistic }{the value of the test statistic.}
#' \item{parameter }{the number of choosen coordinates (k).}
#' \item{method }{a character string indicating the parameters of performed test. }
#' \item{data.name }{a character string giving the name(s) of the data. }
#' \item{p.value }{the p-value for the test, computed only if \code{compute.p=TRUE}.}
#'
#' @importFrom evd pgumbel
#' @importFrom orthopolynom slegendre.polynomials
#' @importFrom polynom polynomial
#' @references
#' Hosking, J.R.M., Wallis, J.R., Wood, E.F. (1985). Estimation of the generalized extreme-value distribution by the method of probability-weighted moments. \eqn{ Technometrics} 27, 251--261.
#'
#' Janic-Wroblewska, A. (2004). Data-driven smooth test for extreme value distribution. \eqn{ Statistics} 38, 413--426.
#'
#' Janic, A. and Ledwina, T. (2008). Data-driven tests for a location-scale family revisited. \eqn{ J. Statist. Theory. Pract. Special issue on Modern Goodness of Fit Methods. accepted.}.
#'
#' Kallenberg, W.C.M., Ledwina, T. (1997). Data driven smooth tests for composite hypotheses: Comparison of powers. \eqn{ J. Statist. Comput. Simul.} \bold{ 59}, 101--121.
#'
#' @export
#'
#' @examples
#' library(evd)
#' set.seed(7)
#'
#' # for given vector of 19 numbers
#' z <- c(13.41, 6.04, 1.26, 3.67, -4.54, 2.92, 0.44, 12.93, 6.77, 10.09,
#' 4.10, 4.04, -1.97, 2.17, -5.38, -7.30, 4.75, 5.63, 8.84)
#' \dontrun{
#' t <- ddst.evd.test(z, compute.p = TRUE, d.n = 10)
#' t
#' plot(t)
#'
#' # H0 is true
#' x <- -qgumbel(runif(100),-1,1)
#' t <- ddst.evd.test (x, compute.p = TRUE, d.n = 10)
#' t
#' plot(t)
#'
#' # H0 is false
#' x <- rexp(80,4)
#' t <- ddst.evd.test (x, compute.p = TRUE, d.n = 10)
#' t
#' plot(t)
#' }
#' @keywords htest
`ddst.evd.test` <-
function(x,
base = ddst.base.legendre,
d.n = 10,
c = 100,
nr = 100000,
compute.p = TRUE,
alpha = 0.05,
compute.cv = TRUE,
...) {
# method.name = as.character(substitute(base))
base = ddst.base.legendre
method.name = "ddst.base.legendre"
n = length(x)
if (n < 5)
stop("length(x) should be at least 5")
sx = sort(x)
er2 = sum(sx * (1:n - n:1)) / (n * (n - 1) * log(2))
er1 = mean(x) + 0.5772156649 * er2
maxN = max(min(d.n, length(x) - 2, 20), 1)
u = NULL
for (j in 1:maxN)
u[j] = ddst.phi(1 - pgumbel(-x, -er1, er2), j, base)
coord = NULL
gg1 = mean(1 - exp((x - er1) / er2))
gg2 = mean((1 - exp((x - er1) / er2)) * (x - er1) / er2 + 1)
for (k in 1:d.n) {
korekta = u[1:k] + t(MMextr12[[k]]) %*% sM22 %*% c(gg1, gg2)
coord[k] = t(korekta) %*% MMextr[[k]] %*% korekta * n
}
l = ddst.IIC(coord, n, c)
attr(l, "names") = "T*"
t = coord[l]
attr(t, "names") = "W*T*"
result = list(statistic = t,
parameter = l,
coordinates = coord - c(0, coord[-d.n]),
method = "Data Driven Smooth Test for Extreme Values")
result$data.name = paste(paste(as.character(substitute(x)), collapse = ""),
", base: ",
method.name,
", c: ",
c,
", d.n: ",
d.n,
sep = "")
class(result) = c("htest", "ddst.test")
if (compute.p | compute.cv) {
tmp = numeric(nr)
for (i in 1:nr) {
y = rnorm(n)
tmpC = ddst.extr.Nk(y, base, Dmax = d.n, n = length(y))
l = ddst.IIC(tmpC, n, c)
tmp[i] = tmpC[l]
}
p.val = mean(tmp > t)
if (compute.p) {
result$p.value = mean(tmp > t)
}
if (compute.cv) {
result$cv = quantile(tmp, alpha)
}
}
result
}
`MMextr12` <-
list(
structure(c(0.866025403784439,-0.234141092407759), .Dim = c(2L,
1L)),
structure(
c(
0.866025403784439,
-0.234141092407759,
0.372677996249965,
1.10810510880576
),
.Dim = c(2L, 2L)
),
structure(
c(
0.866025403784439,-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248
),
.Dim = 2:3
),
structure(
c(
0.866025403784439,-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808
),
.Dim = c(2L, 4L)
),
structure(
c(
0.866025403784439,
-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152
),
.Dim = c(2L,
5L)
),
structure(
c(
0.866025403784439,
-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152,
0.0858464589396188,
0.294178041927853
),
.Dim = c(2L, 6L)
),
structure(
c(
0.866025403784439,
-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152,
0.0858464589396188,
0.294178041927853,
0.069160416896561,
0.100333337378287
),
.Dim = c(2L, 7L)
),
structure(
c(
0.866025403784439,-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152,
0.0858464589396188,
0.294178041927853,
0.069160416896561,
0.100333337378287,
0.0572653559113564,
0.202528656207688
),
.Dim = c(2L, 8L)
),
structure(
c(
0.866025403784439,
-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152,
0.0858464589396188,
0.294178041927853,
0.069160416896561,
0.100333337378287,
0.0572653559113564,
0.202528656207688,
0.0484322104837853,
0.0754369796383129
),
.Dim = c(2L, 9L)
),
structure(
c(
0.866025403784439,
-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152,
0.0858464589396188,
0.294178041927853,
0.069160416896561,
0.100333337378287,
0.0572653559113564,
0.202528656207688,
0.0484322104837853,
0.0754369796383129,
0.0416597790450531,
0.150701656278937
),
.Dim = c(2L, 10L)
),
structure(
c(
0.866025403784439,-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152,
0.0858464589396188,
0.294178041927853,
0.069160416896561,
0.100333337378287,
0.0572653559113564,
0.202528656207688,
0.0484322104837853,
0.0754369796383129,
0.0416597790450531,
0.150701656278937,
0.0363320569947933,
0.0594232320521485
),
.Dim = c(2L, 11L)
),
structure(
c(
0.866025403784439,
-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152,
0.0858464589396188,
0.294178041927853,
0.069160416896561,
0.100333337378287,
0.0572653559113564,
0.202528656207688,
0.0484322104837853,
0.0754369796383129,
0.0416597790450531,
0.150701656278937,
0.0363320569947933,
0.0594232320521485,
0.0320512820512820,
0.117963013416300
),
.Dim = c(2L, 12L)
),
structure(
c(
0.866025403784439,
-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152,
0.0858464589396188,
0.294178041927853,
0.069160416896561,
0.100333337378287,
0.0572653559113564,
0.202528656207688,
0.0484322104837853,
0.0754369796383129,
0.0416597790450531,
0.150701656278937,
0.0363320569947933,
0.0594232320521485,
0.0320512820512820,
0.117963013416300,
0.0285502880368496,
0.0484291463698838
),
.Dim = c(2L, 13L)
),
structure(
c(
0.866025403784439,-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152,
0.0858464589396188,
0.294178041927853,
0.069160416896561,
0.100333337378287,
0.0572653559113564,
0.202528656207688,
0.0484322104837853,
0.0754369796383129,
0.0416597790450531,
0.150701656278937,
0.0363320569947933,
0.0594232320521485,
0.0320512820512820,
0.117963013416300,
0.0285502880368496,
0.0484291463698838,
0.0256436419387357,
0.0956922480067001
),
.Dim = c(2L, 14L)
),
structure(
c(
0.866025403784439,
-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152,
0.0858464589396188,
0.294178041927853,
0.069160416896561,
0.100333337378287,
0.0572653559113564,
0.202528656207688,
0.0484322104837853,
0.0754369796383129,
0.0416597790450531,
0.150701656278937,
0.0363320569947933,
0.0594232320521485,
0.0320512820512820,
0.117963013416300,
0.0285502880368496,
0.0484291463698838,
0.0256436419387357,
0.0956922480067001,
0.0231990181784584,
0.0404954537147379
),
.Dim = c(2L, 15L)
),
structure(
c(
0.866025403784439,
-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152,
0.0858464589396188,
0.294178041927853,
0.069160416896561,
0.100333337378287,
0.0572653559113564,
0.202528656207688,
0.0484322104837853,
0.0754369796383129,
0.0416597790450531,
0.150701656278937,
0.0363320569947933,
0.0594232320521485,
0.0320512820512820,
0.117963013416300,
0.0285502880368496,
0.0484291463698838,
0.0256436419387357,
0.0956922480067001,
0.0231990181784584,
0.0404954537147379,
0.0211197156122722,
0.0797299850375612
),
.Dim = c(2L, 16L)
),
structure(
c(
0.866025403784439,-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152,
0.0858464589396188,
0.294178041927853,
0.069160416896561,
0.100333337378287,
0.0572653559113564,
0.202528656207688,
0.0484322104837853,
0.0754369796383129,
0.0416597790450531,
0.150701656278937,
0.0363320569947933,
0.0594232320521485,
0.0320512820512820,
0.117963013416300,
0.0285502880368496,
0.0484291463698838,
0.0256436419387357,
0.0956922480067001,
0.0231990181784584,
0.0404954537147379,
0.0211197156122722,
0.0797299850375612,
0.0193335940624170,
0.0345719293822885
),
.Dim = c(2L, 17L)
),
structure(
c(
0.866025403784439,
-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152,
0.0858464589396188,
0.294178041927853,
0.069160416896561,
0.100333337378287,
0.0572653559113564,
0.202528656207688,
0.0484322104837853,
0.0754369796383129,
0.0416597790450531,
0.150701656278937,
0.0363320569947933,
0.0594232320521485,
0.0320512820512820,
0.117963013416300,
0.0285502880368496,
0.0484291463698838,
0.0256436419387357,
0.0956922480067001,
0.0231990181784584,
0.0404954537147379,
0.0211197156122722,
0.0797299850375612,
0.0193335940624170,
0.0345719293822885,
0.0177858553517492,
0.0680306326567245
),
.Dim = c(2L, 18L)
),
structure(
c(
0.866025403784439,
-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152,
0.0858464589396188,
0.294178041927853,
0.069160416896561,
0.100333337378287,
0.0572653559113564,
0.202528656207688,
0.0484322104837853,
0.0754369796383129,
0.0416597790450531,
0.150701656278937,
0.0363320569947933,
0.0594232320521485,
0.0320512820512820,
0.117963013416300,
0.0285502880368496,
0.0484291463698838,
0.0256436419387357,
0.0956922480067001,
0.0231990181784584,
0.0404954537147379,
0.0211197156122722,
0.0797299850375612,
0.0193335940624170,
0.0345719293822885,
0.0177858553517492,
0.0680306326567245,
0.0164342052589432,
0.0305267178695429
),
.Dim = c(2L, 19L)
),
structure(
c(
0.866025403784439,-0.234141092407759,
0.372677996249965,
1.10810510880576,
0.220479275922049,
0.215016389907248,
0.15,
0.489380181546808,
0.110554159678513,
0.142331828329152,
0.0858464589396188,
0.294178041927853,
0.069160416896561,
0.100333337378287,
0.0572653559113564,
0.202528656207688,
0.0484322104837853,
0.0754369796383129,
0.0416597790450531,
0.150701656278937,
0.0363320569947933,
0.0594232320521485,
0.0320512820512820,
0.117963013416300,
0.0285502880368496,
0.0484291463698838,
0.0256436419387357,
0.0956922480067001,
0.0231990181784584,
0.0404954537147379,
0.0211197156122722,
0.0797299850375612,
0.0193335940624170,
0.0345719293822885,
0.0177858553517492,
0.0680306326567245,
0.0164342052589432,
0.0305267178695429,
0.0152455338986496,
0.0615566914608176
),
.Dim = c(2L, 20L)
)
)
`MMextr` <-
list(
structure(32.3209404708014, .Dim = c(1L, 1L)),
structure(
c(
34.3970537843995,-2.66186048577395,
-2.66186048577395,
3.41286826654214
),
.Dim = c(2L,
2L)
),
structure(
c(
122.44648288656,
-0.177860727429421,
19.0055823736559,-0.177860727429428,
3.48294543640426,
0.536174538605836,
19.0055823736559,
0.536174538605838,
4.10237936855581
),
.Dim = c(3L, 3L)
),
structure(
c(
130.209043428429,-4.51451571759888,
19.2377674248368,
-3.97418625924684,
-4.51451571759888,
5.90567391656528,
0.406461352419979,
2.22023062880676,
19.2377674248368,
0.406461352419978,
4.10932422878602,
-0.118871425868910,
-3.97418625924684,
2.22023062880676,
-0.118871425868908,
2.03465806649702
),
.Dim = c(4L,
4L)
),
structure(
c(
281.015537230139,
3.08029658576524,
44.6135396937781,-2.97344456375853,
19.0177199641021,
3.08029658576527,
6.28815859921544,
1.68441843886300,
2.27062928969849,
0.957757255169728,
44.6135396937781,
1.684418438863,
8.37923198946806,
0.0495204830241909,
3.20005669993291,-2.97344456375852,
2.27062928969849,
0.0495204830241905,
2.04129892071915,
0.126200303723139,
19.0177199641021,
0.957757255169724,
3.20005669993290,
0.126200303723138,
2.39826325455559
),
.Dim = c(5L, 5L)
),
structure(
c(
296.630711253731,-3.76147597987010,
45.5081153807952,
-6.21381817139198,
19.0790606375848,-5.08407622736899,
-3.76147597987012,
9.28587426790755,
1.29246101436860,
3.69039567959708,
0.930880901671609,
2.22758281153032,
45.5081153807952,
1.29246101436860,
8.43048122041436,
-0.136116861898231,
3.20357083785028,-0.291260986081566,
-6.21381817139199,
3.69039567959708,
-0.136116861898234,
2.71372313457567,
0.113471230122805,
1.05501907320863,
19.0790606375848,
0.930880901671611,
3.20357083785028,
0.113471230122806,
2.39850421749443,-0.0199716416450984,
-5.08407622736899,
2.22758281153032,
-0.291260986081566,
1.05501907320863,
-0.0199716416450986,
1.65530214691452
),
.Dim = c(6L,
6L)
),
structure(
c(
512.313849849907,
9.8270826615388,
82.4198846430386,-3.58734355413421,
35.325426722725,
-4.50507317114052,
20.1350606258432,
9.8270826615388,
10.1419862808949,
3.61799162581456,
3.85586992384758,
1.95444120265120,
2.26406140245924,
1.26855744887350,
82.4198846430386,
3.61799162581456,
14.7475198120127,
0.31337504403547,
5.9839556198402,-0.192171055581001,
3.44589158308727,
-3.58734355413420,
3.85586992384758,
0.313375044035469,
2.74570694638404,
0.311310840687776,
1.06206986466315,
0.245194065678628,
35.325426722725,
1.95444120265120,
5.9839556198402,
0.311310840687776,
3.62226427908448,
0.0236418539537150,
1.51667658493421,-4.50507317114052,
2.26406140245924,
-0.192171055581001,
1.06206986466315,
0.0236418539537147,
1.65685648510389,
0.0540527262148954,
20.1350606258432,
1.26855744887349,
3.44589158308726,
0.245194065678627,
1.51667658493421,
0.0540527262148952,
1.87970496463079
),
.Dim = c(7L, 7L)
),
structure(
c(
537.174461265744,
0.512782902530479,
84.20268600263,
-8.05436983232551,
35.6479469866289,-7.29503636643204,
20.1498606421399,
-6.06457494052765,
0.512782902530449,
13.6316904780056,
2.95004561289220,
5.52949013738349,
1.83360546107918,
3.30935160400959,
1.26301246102393,
2.27215927887482,
84.20268600263,
2.9500456128922,
14.8753678618693,
-0.00696384018943662,
6.00708415659915,-0.392244581311429,
3.44695292018524,
-0.434902113567518,
-8.05436983232552,
5.52949013738349,
-0.00696384018943565,
3.54835509675595,
0.253359470545891,
1.56337848897983,
0.242534756114088,
1.08970029627342,
35.6479469866288,
1.83360546107917,
6.00708415659915,
0.25335947054589,
3.62644838054873,-0.0125527372001168,
1.51686858766016,
-0.0786765971912042,
-7.29503636643205,
3.30935160400959,
-0.392244581311428,
1.56337848897983,
-0.0125527372001164,
1.96995798131718,
0.0523918056498745,
0.680592307088952,
20.1498606421399,
1.26301246102393,
3.44695292018524,
0.242534756114088,
1.51686858766016,
0.0523918056498743,
1.87971377537474,
-0.0036103620484587,
-6.06457494052766,
2.27215927887482,
-0.434902113567518,
1.08970029627342,
-0.078676597191204,
0.680592307088952,
-0.00361036204845865,
1.47941129017510
),
.Dim = c(8L,
8L)
),
structure(
c(
819.143661337148,
20.6552663424948,
132.998745280787,-3.57835751069945,
57.2260677899828,
-5.91381020282217,
32.703279767742,-5.66993879870671,
21.4830243288986,
20.6552663424948,
15.0705697564038,
6.43579446665671,
5.84923429398857,
3.37503956394234,
3.40801956178766,
2.15976656320369,
2.30035013074599,
1.53464088161272,
132.998745280787,
6.43579446665671,
23.3197490229125,
0.767630557072814,
9.74127662004923,-0.153217078523954,
5.61937949600029,
-0.366608524889314,
3.71773558375014,-3.57835751069946,
5.84923429398857,
0.767630557072808,
3.61940784400026,
0.595893103896238,
1.58530423592562,
0.441809211162737,
1.09596479691003,
0.34102406070451,
57.2260677899828,
3.37503956394235,
9.74127662004923,
0.59589310389624,
5.27774681061211,
0.093147690391196,
2.47753803070139,-0.0484764677464773,
1.64402102808739,
-5.91381020282216,
3.40801956178767,-0.153217078523954,
1.58530423592562,
0.0931476903911958,
1.97672391786116,
0.113884730886574,
0.682525432281534,
0.105234597498713,
32.703279767742,
2.15976656320369,
5.61937949600029,
0.441809211162737,
2.47753803070139,
0.113884730886574,
2.43859868799330,
0.0139590493948294,
0.956435697295593,-5.66993879870671,
2.30035013074599,
-0.366608524889314,
1.09596479691003,-0.0484764677464775,
0.682525432281534,
0.0139590493948297,
1.47996361179176,
0.0300670351004980,
21.4830243288986,
1.53464088161272,
3.71773558375014,
0.341024060704510,
1.64402102808739,
0.105234597498713,
0.956435697295593,
0.0300670351004979,
1.63677569819399
),
.Dim = c(9L, 9L)
),
structure(
c(
854.250474615544,
8.91493970168793,
135.837282178762,
-9.26710489293656,
57.8827925389345,-9.48270773821005,
32.8632945092877,
-8.19037659798335,
21.4801537258390,-6.95559236414534,
8.91493970168783,
18.9967384046347,
5.48653854587784,
7.75164998506586,
3.15541942910870,
4.60152073436018,
2.10625486112516,
3.14322820135604,
1.53560086101374,
2.32607060310064,
135.837282178762,
5.48653854587783,
23.549256943705,
0.307670855812477,
9.7943756415108,-0.441777799172487,
5.63231737630568,
-0.570396764954333,
3.71750348314227,-0.562389568552582,
-9.26710489293657,
7.75164998506586,
0.307670855812478,
4.5412188475311,
0.489476689315478,
2.16361239368755,
0.41588024304865,
1.50437936359351,
0.341489216442637,
1.12709198467218,
57.8827925389345,
3.15541942910871,
9.7943756415108,
0.489476689315479,
5.29003181615983,
0.0263861954251879,
2.48053134257331,
-0.0956249761528032,
1.64396732922109,-0.130114619430786,
-9.48270773821007,
4.60152073436018,
-0.441777799172486,
2.16361239368755,
0.0263861954251878,
2.33953182973571,
0.0976179107626083,
0.938748752199806,
0.105526418009594,
0.707093413712111,
32.8632945092876,
2.10625486112515,
5.63231737630568,
0.415880243048649,
2.48053134257331,
0.0976179107626074,
2.43932802555265,
0.00247104563233753,
0.956422613259673,-0.0317031712794379,
-8.19037659798336,
3.14322820135604,
-0.570396764954334,
1.50437936359351,
-0.095624976152804,
0.938748752199806,
0.00247104563233791,
1.66091443320781,
0.0302731254796505,
0.499365686425022,
21.4801537258390,
1.53560086101374,
3.71750348314227,
0.341489216442637,
1.64396732922109,
0.105526418009594,
0.956422613259674,
0.030273125479651,
1.63677593291659,
0.000568742727152438,
-6.95559236414535,
2.32607060310064,
-0.562389568552583,
1.12709198467218,
-0.130114619430787,
0.707093413712111,
-0.0317031712794377,
0.499365686425022,
0.00056874272715208,
1.37808763081201
),
.Dim = c(10L,
10L)
),
structure(
c(
1203.57808384091,
36.0200044219273,
196.778640962872,-2.77896868179259,
84.922037294422,
-7.20682480616153,
48.627329204544,-7.31357854683658,
31.9920469792315,
-6.6607108350063,
22.870799165159,
36.0200044219273,
21.099877446858,
10.215106887915,
8.25507813466665,
5.25345136168079,
4.77811128300207,
3.32941950480884,
3.21126080827084,
2.35124079167159,
2.34895108182903,
1.77459346242315,
196.778640962872,
10.2151068879150,
34.1806788879622,
1.43954771364311,
14.5114614726293,-0.0447424814655483,
8.38240545660101,
-0.417436440018575,
5.55133808807313,-0.510946508824441,
3.98988668743918,
-2.77896868179257,
8.25507813466666,
1.43954771364311,
4.66172438554944,
0.991682350668981,
2.20588285291777,
0.708669022517945,
1.52066432085218,
0.536728852428624,
1.13256888222244,
0.424784232114743,
84.9220372944221,
5.25345136168079,
14.5114614726293,
0.991682350668983,
7.38296904081382,
0.202547924442134,
3.70072574233528,-0.0277575746649424,
2.457626619285,
-0.107289701990266,
1.77028416892570,-7.20682480616153,
4.77811128300208,
-0.0447424814655465,
2.20588285291777,
0.202547924442135,
2.35435929536855,
0.200321208628792,
0.94446112553292,
0.174011810538296,
0.709014578319263,
0.149004144212143,
48.627329204544,
3.32941950480884,
8.38240545660101,
0.708669022517945,
3.70072574233528,
0.200321208628791,
3.15070835539346,
0.0420381297504842,
1.43079064367894,-0.0183961135674913,
1.03208581865971,
-7.31357854683657,
3.21126080827085,-0.417436440018575,
1.52066432085218,
-0.0277575746649426,
0.94446112553292,
0.042038129750484,
1.66311516055427,
0.0566575487975668,
0.500105827035844,
0.0574047730743405,
31.9920469792315,
2.35124079167159,
5.55133808807313,
0.536728852428625,
2.457626619285,
0.174011810538296,
1.43079064367894,
0.0566575487975672,
1.95309762307945,
0.00944225594181252,
0.68822329840189,-6.6607108350063,
2.34895108182903,
-0.510946508824439,
1.13256888222244,-0.107289701990266,
0.709014578319263,
-0.0183961135674909,
0.500105827035844,
0.00944225594181244,
1.37833655220823,
0.0193061643349974,
22.870799165159,
1.77459346242315,
3.98988668743918,
0.424784232114743,
1.77028416892570,
0.149004144212142,
1.03208581865971,
0.0574047730743405,
0.68822329840189,
0.0193061643349973,
1.49737221061044
),
.Dim = c(11L, 11L)
),
structure(
c(
1249.70436071525,
21.9003426666617,
200.804788373757,
-9.68090876399071,
85.9709240121947,-11.5531126741251,
48.9661431851002,
-10.3896546121603,
32.0839031494598,-8.99306559675041,
22.8600930841128,
-7.7799950077724,
21.9003426666617,
25.4220309262249,
8.98266751775889,
10.3678231038963,
4.93237785048112,
6.1085484816021,
3.22570554548602,
4.15287492757390,
2.32312280466547,
3.06290552516656,
1.77787068862289,
2.38152535628331,
200.804788373757,
8.9826675177589,
34.5321025031461,
0.837109579132873,
14.6030138984746,-0.42410966287207,
8.41197894752667,
-0.685932761970815,
5.55935578442738,-0.714526869555919,
3.98895220359587,
-0.679079450583789,
-9.68090876399072,
10.3678231038963,
0.837109579132868,
5.69447144701172,
0.834735946803918,
2.85622405705055,
0.657971807149744,
1.98094193547416,
0.522984283690966,
1.48156242574682,
0.426386198171642,
1.16413166251499,
85.9709240121947,
4.93237785048112,
14.6030138984746,
0.834735946803916,
7.40682016041985,
0.103715676854459,
3.70843018995334,
-0.0977058893008538,
2.45971537917246,-0.16032619434367,
1.77004071840306,
-0.176912900433233,
-11.5531126741251,
6.1085484816021,
-0.424109662872071,
2.85622405705055,
0.103715676854459,
2.76389198500314,
0.168396171686993,
1.23430702226661,
0.165356584378207,
0.928782699478418,
0.150012933850292,
0.73307668007026,
48.9661431851002,
3.22570554548603,
8.41197894752667,
0.657971807149744,
3.70843018995334,
0.168396171686993,
3.15319706510936,
0.0194432522355649,
1.43146536006143,-0.0355280924405143,
1.03200717867002,
-0.0571468424493999,
-10.3896546121603,
4.15287492757391,
-0.685932761970816,
1.98094193547416,
-0.0977058893008535,
1.23430702226661,
0.0194432522355648,
1.86825298222198,
0.0505318307503938,
0.655646250946056,
0.0581187418116032,
0.518833473096149,
32.0839031494598,
2.32312280466547,
5.55935578442738,
0.522984283690965,
2.45971537917246,
0.165356584378207,
1.43146536006143,
0.0505318307503936,
1.95328054605911,
0.00479758937537752,
0.688201978241848,
-0.0154931330741029,-8.99306559675042,
3.06290552516656,
-0.71452686955592,
1.48156242574682,-0.160326194343670,
0.928782699478418,
-0.0355280924405141,
0.655646250946056,
0.00479758937537755,
1.49627103778231,
0.0198475125815083,
0.393392001962976,
22.8600930841128,
1.77787068862289,
3.98895220359587,
0.426386198171643,
1.77004071840306,
0.150012933850292,
1.03200717867002,
0.0581187418116036,
0.688201978241848,
0.0198475125815084,
1.49737469553178,
0.00180576588276177,-7.77999500777241,
2.38152535628331,
-0.67907945058379,
1.16413166251499,-0.176912900433233,
0.733076680070259,
-0.0571468424494,
0.518833473096149,-0.0154931330741029,
0.393392001962976,
0.00180576588276152,
1.3122308242166
),
.Dim = c(12L, 12L)
),
structure(
c(
1667.25617406901,
56.288946492654,
274.10014017619,
-1.05331789738936,
118.574463240461,-8.31030248037923,
68.0048525590383,
-8.98275406451293,
44.7945139161181,-8.37398691744668,
32.0545937572277,
-7.54643154813351,
24.2414993669381,
56.2889464926538,
28.2541969838992,
15.0191035594941,
11.0783715790693,
7.6175301070134,
6.3756188462112,
4.79368971674345,
4.26874401018427,
3.36993937703337,
3.11389141663877,
2.53510854728756,
2.40076110385970,
1.99647394938093,
274.10014017619,
15.0191035594941,
47.3980712860211,
2.35156188792749,
20.3261069406201,
0.145120086293785,
11.7539567735092,-0.438971145967781,
7.79052484649704,
-0.6058563090607,
5.60291756054354,-0.638080668169405,
4.25525447979026,
-1.05331789738939,
11.0783715790693,
2.35156188792748,
5.87273752509093,
1.50840083884532,
2.92322805203970,
1.05135578933663,
2.01001177046684,
0.785615041963906,
1.4943540300183,
0.61636595036856,
1.16895762639947,
0.500885714879348,
118.574463240461,
7.6175301070134,
20.3261069406201,
1.50840083884532,
9.95258989776372,
0.356922790272102,
5.19502248359723,
0.0121485903793083,
3.45219315915723,-0.111986909587747,
2.4879714129735,
-0.158675653760872,
1.89283976331893,-8.31030248037926,
6.3756188462112,
0.145120086293781,
2.92322805203970,
0.356922790272102,
2.78907644742515,
0.316255476470469,
1.24523335833218,
0.264070317248363,
0.933590616933853,
0.221419689983612,
0.734890591406715,
0.188265452920355,
68.0048525590383,
4.79368971674346,
11.7539567735092,
1.05135578933663,
5.19502248359723,
0.316255476470471,
4.02128682794359,
0.0835923465229277,
2.01101888279185,
-0.00730055593385933,
1.45124000332931,-0.0464972734947861,
1.10531638583641,
-8.98275406451294,
4.26874401018426,-0.438971145967785,
2.01001177046684,
0.0121485903793072,
1.24523335833218,
0.083592346522926,
1.87299339787260,
0.0933590073465376,
0.657732176824213,
0.0890987246991117,
0.519620442638047,
0.0816793931780217,
44.7945139161181,
3.36993937703337,
7.79052484649704,
0.785615041963907,
3.45219315915723,
0.264070317248363,
2.01101888279185,
0.0933590073465384,
2.34020169187774,
0.0236428389346184,
0.96808992391034,
-0.00838327477666626,
0.737930606452137,-8.37398691744668,
3.11389141663877,
-0.605856309060702,
1.4943540300183,-0.111986909587747,
0.933590616933854,
-0.00730055593386019,
0.657732176824214,
0.0236428389346183,
1.49718890808945,
0.0334796395452239,
0.39373829229989,
0.0359413968098299,
32.0545937572277,
2.53510854728756,
5.60291756054354,
0.61636595036856,
2.4879714129735,
0.221419689983613,
1.45124000332931,
0.0890987246991124,
0.96808992391034,
0.0334796395452240,
1.69983781489628,
0.00694883871392815,
0.533798381705934,
-7.54643154813352,
2.40076110385969,
-0.638080668169408,
1.16895762639947,
-0.158675653760873,
0.734890591406715,
-0.0464972734947870,
0.519620442638048,
-0.00838327477666646,
0.39373829229989,
0.00694883871392789,
1.31236147121161,
0.0135598224648768,
24.2414993669381,
1.99647394938094,
4.25525447979026,
0.500885714879348,
1.89283976331893,
0.188265452920356,
1.10531638583641,
0.0816793931780223,
0.737930606452138,
0.0359413968098300,
0.533798381705934,
0.0135598224648771,
1.40737094837924
),
.Dim = c(13L, 13L)
),
structure(
c(
1725.02315628199,
39.8345950081936,
279.421467469139,
-9.15847199029239,
120.063091425293,-13.4308674399428,
68.5501500778068,
-12.6135507804251,
44.9995305604056,-11.1303350892035,
32.1115643512323,
-9.73606687615795,
24.2270262199865,-8.55173420601856,
39.8345950081937,
32.9410556772693,
13.5033762999478,
13.387044270138,
7.19350914478752,
7.83416094787686,
4.63836713118251,
5.30294041518375,
3.31154242091752,
3.89900983366959,
2.51888103907972,
3.02445699258248,
2.00059648162909,
2.43587660350581,
279.421467469140,
13.5033762999478,
47.8882565626956,
1.60493853950565,
20.4632350626988,-0.326571544994106,
11.8041880034999,
-0.773429636256977,
7.80941038669615,-0.859763129069919,
5.60816552685864,
-0.839783540402773,
4.25392125536112,-0.787761016573657,
-9.1584719902924,
13.3870442701380,
1.60493853950564,
7.00995329010345,
1.29953479871553,
3.64168289337145,
0.974846332779237,
2.51944061260396,
0.756849622170666,
1.88109098268518,
0.608372535696881,
1.47618038689426,
0.50291640926165,
1.19987440655769,
120.063091425293,
7.1935091447875,
20.4632350626988,
1.29953479871553,
9.99095115168064,
0.224968219874974,
5.20907454628889,
-0.0814153473172009,
3.45747634244567,-0.183016716208951,
2.48943951860577,
-0.215101534755947,
1.89246679707339,-0.220374201326746,
-13.4308674399428,
7.83416094787685,
-0.326571544994108,
3.64168289337145,
0.224968219874975,
3.24297215913941,
0.267919363691790,
1.56707344286830,
0.245897288216201,
1.17791807396867,
0.216369718248842,
0.92898364431331,
0.189548377634478,
0.758040472972113,
68.5501500778068,
4.63836713118251,
11.8041880034999,
0.974846332779236,
5.20907454628889,
0.267919363691792,
4.02643422136089,
0.0493190581411366,
2.01295415901985,-0.0333193950931084,
1.45177778325768,
-0.0671665670191128,
1.10517976503995,-0.0807249966165048,
-12.6135507804251,
5.30294041518374,
-0.773429636256978,
2.51944061260396,
-0.0814153473171991,
1.56707344286830,
0.0493190581411363,
2.10119788921493,
0.0804732077034859,
0.8309754293978,
0.08551798293822,
0.657244401056624,
0.0825890660120881,
0.537497499109961,
44.9995305604056,
3.31154242091752,
7.80941038669615,
0.756849622170667,
3.45747634244567,
0.245897288216202,
2.01295415901985,
0.0804732077034861,
2.34092930171345,
0.0138604817643320,
0.968292114150518,
-0.0161543521285393,
0.737879240846649,-0.0303503451725615,
-11.1303350892035,
3.89900983366959,
-0.85976312906992,
1.88109098268518,
-0.183016716208951,
1.17791807396867,
-0.0333193950931089,
0.8309754293978,
0.0138604817643317,
1.62870789961206,
0.0307612909902312,
0.498216613687174,
0.0366319821687078,
0.408045496599316,
32.1115643512323,
2.51888103907971,
5.60816552685864,
0.608372535696881,
2.48943951860577,
0.216369718248842,
1.45177778325767,
0.0855179829382201,
0.968292114150518,
0.0307612909902313,
1.69989400008129,
0.00478939017586292,
0.533784108088963,-0.00843383813401006,
-9.73606687615795,
3.02445699258248,
-0.839783540402774,
1.47618038689426,
-0.215101534755946,
0.92898364431331,
-0.0671665670191128,
0.657244401056624,
-0.0161543521285395,
0.498216613687174,
0.00478939017586278,
1.39535875938674,
0.0141084215549004,
0.324150208580381,
24.2270262199865,
2.00059648162909,
4.25392125536112,
0.50291640926165,
1.89246679707339,
0.189548377634477,
1.10517976503995,
0.0825890660120875,
0.737879240846648,
0.0366319821687076,
0.533784108088963,
0.0141084215549001,
1.40737457453342,
0.00214258216586551,
-8.55173420601856,
2.43587660350580,
-0.787761016573658,
1.19987440655769,
-0.220374201326746,
0.758040472972113,
-0.0807249966165052,
0.53749749910996,
-0.0303503451725618,
0.408045496599316,
-0.0084338381340102,
0.324150208580381,
0.00214258216586556,
1.26598543196973
),
.Dim = c(14L,
14L)
),
structure(
c(
2211.56077139487,
81.7722258195251,
365.250563442343,
1.71319662944353,
158.319279643632,
-9.16197931259021,
90.9182253384846,-10.637414283462,
59.9468919589412,
-10.1587634693626,
42.9321089483646,-9.26829291291937,
32.4898818504405,
-8.3592255398479,
25.5776896387275,
81.7722258195251,
36.5559146798142,
20.9015071494186,
14.3241393902590,
10.4910422602431,
8.20212233194836,
6.56640733425034,
5.47327561696091,
4.59994624513139,
3.98275548998477,
3.45156946931917,
3.06477727032482,
2.71282217212768,
2.45247009416114,
2.20469635184724,
365.250563442343,
20.9015071494186,
63.0291901447132,
3.5227871505235,
27.2119302265845,
0.426494194221987,
15.7500939697614,
-0.424823477584857,
10.4462435444437,-0.688370185926527,
7.51699545462101,
-0.757264501509441,
5.71155455418515,-0.753800960308323,
4.51210741078228,
1.71319662944351,
14.3241393902590,
3.5227871505235,
7.25288040386817,
2.15436819297947,
3.73707107231941,
1.47466031291514,
2.56359732418187,
1.09084797053394,
1.90280072179507,
0.850157284688595,
1.48663278226782,
0.687549673939804,
1.20417600700958,
0.571532718485098,
158.319279643632,
10.4910422602431,
27.2119302265844,
2.15436819297947,
12.9990144371009,
0.560628572970479,
6.96786414584724,
0.0739671913081214,
4.63277924455991,
-0.106622567839548,
3.34025305876089,-0.178320722285484,
2.54217064401290,
-0.205237349544017,
2.01115983351545,-9.16197931259023,
8.20212233194837,
0.426494194221989,
3.73707107231941,
0.560628572970477,
3.2804274457972,
0.464177182092702,
1.58441209329918,
0.377045655017508,
1.18644265752394,
0.311309334277236,
0.933087899885595,
0.262046793385313,
0.759729546815329,
0.224419021741117,
90.9182253384846,
6.56640733425035,
15.7500939697614,
1.47466031291514,
6.96786414584725,
0.464177182092704,
5.0547838809268,
0.140169936914790,
2.70014399661015,
0.0113476284600390,
1.94924138810973,
-0.0456611316946967,
1.48505620391966,-0.0718746051986926,
1.17590843762528,
-10.637414283462,
5.47327561696092,-0.424823477584859,
2.56359732418188,
0.0739671913081197,
1.58441209329918,
0.140169936914788,
2.10922422743284,
0.141183881401531,
0.834921595280443,
0.129467047576210,
0.65914432651433,
0.116149740610060,
0.538279398369924,
0.103887149591440,
59.9468919589412,
4.59994624513139,
10.4462435444437,
1.09084797053394,
4.63277924455991,
0.377045655017508,
2.70014399661015,
0.141183881401532,
2.80014068812721,
0.0437090107890668,
1.30071983525237,-0.00178344582208682,
0.991729889708947,
-0.0244361126112514,
0.785795299056045,
-10.1587634693626,
3.98275548998478,
-0.688370185926527,
1.90280072179507,
-0.106622567839549,
1.18644265752394,
0.0113476284600379,
0.834921595280442,
0.0437090107890663,
1.63064804027777,
0.0523689400501235,
0.499150715991016,
0.0531321576536573,
0.408429918997122,
0.0510763332210758,
42.9321089483646,
3.45156946931917,
7.51699545462101,
0.850157284688596,
3.34025305876089,
0.311309334277236,
1.94924138810973,
0.129467047576211,
1.30071983525237,
0.0523689400501238,
1.94054175627042,
0.0151926331592977,
0.717549134824356,
-0.00415246595860141,
0.56884508582805,
-9.26829291291937,
3.06477727032483,
-0.757264501509442,
1.48663278226782,
-0.178320722285485,
0.933087899885594,
-0.0456611316946977,
0.65914432651433,
-0.00178344582208704,
0.499150715991016,
0.0151926331592976,
1.39580849333102,
0.0220526145748556,
0.324335293019764,
0.0245912687552914,
32.4898818504405,
2.71282217212768,
5.71155455418515,
0.687549673939804,
2.54217064401290,
0.262046793385313,
1.48505620391966,
0.116149740610060,
0.991729889708947,
0.0531321576536573,
0.717549134824356,
0.0220526145748556,
1.54770243624229,
0.00541195182356463,
0.434385236167882,
-8.3592255398479,
2.45247009416114,
-0.753800960308323,
1.20417600700958,
-0.205237349544018,
0.759729546815328,
-0.0718746051986931,
0.538279398369924,
-0.0244361126112516,
0.408429918997122,
-0.00415246595860139,
0.324335293019764,
0.00541195182356462,
1.26606160200345,
0.0101203417025442,
25.5776896387275,
2.20469635184724,
4.51210741078228,
0.571532718485098,
2.01115983351545,
0.224419021741116,
1.17590843762528,
0.103887149591440,
0.785795299056045,
0.0510763332210758,
0.56884508582805,
0.0245912687552914,
0.434385236167882,
0.0101203417025442,
1.34464055179653
),
.Dim = c(15L,
15L)
),
structure(
c(
2281.70463581081,
62.9938098561674,
371.984936235228,-7.6018810694523,
160.298007976291,
-15.0642327617156,
91.6986494030292,-14.8294691911718,
60.2838167981489,
-13.3447132374785,
43.0701024886997,-11.8012259179920,
32.5281076796795,
-10.4389280844588,
25.5624332450559,-9.29580294261557,
62.9938098561675,
41.5831385008492,
19.0986288134375,
16.8179056692723,
9.96131119938987,
9.78223160182238,
6.35747776023804,
6.59554270979061,
4.50974712605186,
4.8356752782226,
3.41462682120104,
3.74287606018268,
2.70258862528722,
3.00923325210523,
2.20878068493592,
2.4886061784968,
371.984936235228,
19.0986288134374,
63.6757438709884,
2.62846508341811,
27.4019039949087,
-0.140169410293797,
15.8250209306710,-0.827294324492114,
10.4785910275668,
-0.994246881152836,
7.53024393973575,-1.0004463572232,
5.71522453995708,
-0.95346906172208,
4.51064267479532,-0.892471536123538,
-7.60188106945226,
16.8179056692723,
2.62846508341812,
8.48991907088004,
1.89159384603821,
4.5208880167491,
1.37102030305931,
3.12030057268942,
1.04610448395684,
2.32589360214598,
0.83183179662329,
1.82300529246151,
0.682473298800441,
1.48035968971498,
0.573558761583967,
1.23447898693345,
160.298007976292,
9.96131119938988,
27.4019039949087,
1.89159384603821,
13.0548335147499,
0.394128534462044,
6.98987957400819,-0.0442888797974801,
4.64228374977717,
-0.196496844444138,
3.34414579735243,-0.249773676063034,
2.54324897826171,
-0.263904866408272,
2.01072945719284,-0.262230614332889,
-15.0642327617155,
9.78223160182239,
-0.140169410293786,
4.5208880167491,
0.394128534462045,
3.77707239211818,
0.398508421679561,
1.93715243265599,
0.348695124135014,
1.45452430891456,
0.299697871803554,
1.14622147457573,
0.258830282085708,
0.934726057476059,
0.225702770546554,
0.782195070618233,
91.6986494030293,
6.35747776023806,
15.8250209306711,
1.37102030305932,
6.9898795740082,
0.398508421679561,
5.06346691722051,
0.0935289290783922,
2.70389263884191,
-0.0240994044086715,
1.95077671098532,-0.073842668134343,
1.48548150636438,
-0.095013477378571,
1.17573869424338,-0.103425557975155,
-14.8294691911718,
6.59554270979062,
-0.827294324492104,
3.12030057268942,
-0.0442888797974785,
1.93715243265599,
0.093528929078392,
2.35975682205858,
0.121048015812824,
1.0253256523183,
0.121220046889439,
0.8105217038972,
0.113865224688235,
0.662570059160878,
0.104798927698991,
0.555551318294857,
60.2838167981489,
4.50974712605186,
10.4785910275668,
1.04610448395684,
4.64228374977716,
0.348695124135013,
2.70389263884191,
0.121048015812822,
2.8017590527299,
0.0284058103979765,
1.30138266516301,-0.0139499845860510,
0.991913501368663,
-0.034425631313817,
0.785722017407933,-0.0446509033666429,
-13.3447132374785,
4.83567527822261,
-0.994246881152834,
2.32589360214598,
-0.196496844444138,
1.45452430891456,
-0.0240994044086724,
1.02532565231830,
0.0284058103979770,
1.77535458032153,
0.0461012430604366,
0.614197090856955,
0.0513959320717841,
0.502890466543306,
0.0517692819811206,
0.422217416676222,
43.0701024886997,
3.41462682120104,
7.53024393973575,
0.831831796623288,
3.34414579735243,
0.299697871803553,
1.95077671098531,
0.121220046889438,
1.30138266516301,
0.0461012430604363,
1.94081323000982,
0.0102096115404868,
0.717624336234322,
-0.00824385042069897,
0.568815072030027,
-0.0182875689702926,
-11.8012259179920,
3.74287606018269,-1.00044635722320,
1.82300529246151,
-0.249773676063032,
1.14622147457573,-0.0738426681343433,
0.8105217038972,
-0.0139499845860504,
0.614197090856955,
0.0102096115404873,
1.48727407854777,
0.0206722591390660,
0.399434480380296,
0.0251421854090041,
0.335676488285697,
32.5281076796795,
2.70258862528722,
5.71522453995709,
0.682473298800441,
2.54324897826171,
0.258830282085707,
1.48548150636438,
0.113865224688235,
0.991913501368663,
0.0513959320717841,
0.717624336234322,
0.0206722591390657,
1.54772326791488,
0.00427859033846914,
0.434376921993761,
-0.00506587110527014,
-10.4389280844588,
3.00923325210523,-0.953469061722077,
1.48035968971498,
-0.263904866408271,
0.934726057476059,-0.0950134773785713,
0.662570059160878,
-0.0344256313138164,
0.502890466543307,
-0.00824385042069861,
0.399434480380296,
0.00427859033846937,
1.32772291351036,
0.0105726800645549,
0.275612203503122,
25.5624332450559,
2.20878068493592,
4.51064267479532,
0.573558761583967,
2.01072945719284,
0.225702770546553,
1.17573869424338,
0.104798927698990,
0.785722017407933,
0.0517692819811205,
0.568815072030027,
0.0251421854090037,
0.434376921993761,
0.0105726800645547,
1.34464387008456,
0.00202185081104250,
-9.29580294261556,
2.4886061784968,
-0.892471536123537,
1.23447898693345,
-0.26223061433289,
0.782195070618233,
-0.103425557975156,
0.555551318294856,
-0.0446509033666429,
0.422217416676222,
-0.0182875689702925,
0.335676488285697,
-0.00506587110527012,
0.275612203503121,
0.00202185081104253,
1.23192460334437
),
.Dim = c(16L,
16L)
),
structure(
c(
2836.65208921483,
112.643335587721,
470.29445005428,
5.59415596509935,
204.191833405888,
-9.71852462020793,
117.39053655333,-12.2481105528553,
77.4657976017784,
-11.9933259901707,
55.5160548474411,-11.0775343811381,
42.0370780681148,
-10.0652489059055,
33.1101684197937,-9.1318971795888,
26.8385043262545,
112.643335587721,
46.0251363697426,
27.8940935120780,
17.9985165114031,
13.8883633946119,
10.2604964759059,
8.65605576854612,
6.82648931806745,
6.04696870044804,
4.95657994315436,
4.52812978098336,
3.80762262557437,
3.55332839728775,
3.04266523539871,
2.88405447793103,
2.50327034777815,
2.40116249379926,
470.29445005428,
27.8940935120781,
81.0913756538808,
4.96615665628225,
35.1777404478428,
0.80682830126714,
20.376365241465,
-0.370003978948770,
13.5223966507693,-0.754847236287038,
9.73505723854037,
-0.872243654955303,
7.39974845311801,-0.887271409777643,
5.84773174676412,
-0.863435461128566,
4.75446872629174,
5.59415596509935,
17.9985165114031,
4.96615665628225,
8.80370624541194,
2.93534049701243,
4.64800304751206,
1.98194498114064,
3.18168242782141,
1.45467299548145,
2.35802809714029,
1.12778278666532,
1.84021387728041,
0.90858610396165,
1.48924536753726,
0.753035561201462,
1.23837648480613,
0.638189967120269,
204.191833405888,
13.8883633946119,
35.1777404478428,
2.93534049701243,
16.5266359332056,
0.816949791720957,
9.02199126785387,
0.159884875296709,
6.00130046623035,
-0.0896082452492687,
4.32856415406114,-0.192532959327241,
3.29536538799557,
-0.234348538994766,
2.60772106084215,-0.249266412217761,
2.12280390956308,
-9.71852462020798,
10.2604964759059,
0.80682830126713,
4.64800304751206,
0.816949791720951,
3.82856662884081,
0.645993709642627,
1.96201819211550,
0.514206028105817,
1.46754197710272,
0.419587472962793,
1.15319266386001,
0.350428468744669,
0.938325641211166,
0.298408734194191,
0.783773945098121,
0.258530443202864,
117.39053655333,
8.65605576854612,
20.376365241465,
1.98194498114064,
9.02199126785387,
0.645993709642629,
6.25290036951392,
0.213035693950066,
3.49935085586358,
0.0384645166278548,
2.52697541505614,
-0.0403385927801189,
1.92570948225053,-0.0777135992965582,
1.52516918385145,
-0.0958373650009562,
1.24251732340325,-12.2481105528553,
6.82648931806745,
-0.370003978948772,
3.18168242782141,
0.159884875296708,
1.96201819211550,
0.213035693950066,
2.37176410739478,
0.200970636051521,
1.03161168016320,
0.179112855363914,
0.813887981891058,
0.158096552723208,
0.664308241703399,
0.139907497480736,
0.556313732023703,
0.124840297143776,
77.4657976017784,
6.04696870044804,
13.5223966507693,
1.45467299548145,
6.00130046623035,
0.514206028105819,
3.49935085586358,
0.200970636051521,
3.3337381843133,
0.0702467263244978,
1.68672746348411,
0.00845655862394869,
1.28632506353404,
-0.0228559801094753,
1.01941088306133,-0.0395761424020555,
0.830959153525712,
-11.9933259901707,
4.95657994315436,-0.754847236287042,
2.35802809714029,
-0.0896082452492717,
1.46754197710272,
0.038464516627854,
1.03161168016320,
0.0702467263244969,
1.77864542791618,
0.0764091599542554,
0.615959397374257,
0.0745518205061524,
0.503800436078959,
0.0701492439011771,
0.422616553849587,
0.0653561202252395,
55.5160548474411,
4.52812978098336,
9.73505723854037,
1.12778278666532,
4.32856415406114,
0.419587472962794,
2.52697541505614,
0.179112855363913,
1.68672746348411,
0.0764091599542553,
2.21994187393079,
0.0264400317989493,
0.93088451376862,
0.000136750706854249,
0.738090112081059,
-0.0146116113540486,
0.601914188767834,
-11.0775343811381,
3.80762262557437,
-0.872243654955305,
1.84021387728041,
-0.192532959327242,
1.15319266386001,
-0.0403385927801197,
0.813887981891058,
0.00845655862394857,
0.615959397374257,
0.0264400317989496,
1.48821782454986,
0.033072642908909,
0.399921785002314,
0.034984976892898,
0.335890233231852,
0.0349993469176749,
42.0370780681148,
3.55332839728775,
7.39974845311801,
0.908586103961651,
3.29536538799557,
0.35042846874467,
1.92570948225053,
0.158096552723208,
1.28632506353404,
0.074551820506153,
0.93088451376862,
0.0330726429089092,
1.71065854636963,
0.0106815465496282,
0.563706626700202,
-0.00225736187154656,
0.459875149156622,
-10.0652489059055,
3.04266523539871,
-0.887271409777645,
1.48924536753726,
-0.234348538994766,
0.938325641211167,
-0.077713599296558,
0.664308241703399,
-0.0228559801094752,
0.503800436078959,
0.000136750706854587,
0.399921785002314,
0.0106815465496281,
1.32797453396133,
0.0156550197757023,
0.275722571017225,
0.0180719637305300,
33.1101684197937,
2.88405447793103,
5.84773174676412,
0.753035561201464,
2.60772106084215,
0.298408734194193,
1.52516918385145,
0.139907497480737,
1.01941088306133,
0.0701492439011778,
0.738090112081059,
0.0349849768928984,
0.563706626700202,
0.0156550197757024,
1.44729918622041,
0.00425110204077948,
0.365025412582910,
-9.1318971795888,
2.50327034777815,
-0.863435461128566,
1.23837648480613,
-0.249266412217763,
0.783773945098121,
-0.0958373650009565,
0.556313732023703,
-0.0395761424020557,
0.422616553849587,
-0.0146116113540486,
0.335890233231852,
-0.00225736187154671,
0.275722571017225,
0.00425110204077922,
1.23197301351184,
0.0079268505569946,
26.8385043262545,
2.40116249379926,
4.75446872629173,
0.638189967120268,
2.12280390956308,
0.258530443202864,
1.24251732340325,
0.124840297143776,
0.830959153525712,
0.0653561202252397,
0.601914188767834,
0.0349993469176749,
0.459875149156622,
0.0180719637305299,
0.365025412582910,
0.00792685055699466,
1.29797030340870
),
.Dim = c(17L,
17L)
),
structure(
c(
2924.03948019569,
91.0026805723211,
479.082824789297,-5.24191390578497,
206.906889760163,
-16.6112007506642,
118.535529409201,-17.1543652651036,
78.0140088568987,
-15.7274675244308,
55.7884483272507,-14.0494010485901,
42.166172520358,
-12.5072959384568,
33.1590218846548,-11.1881847766414,
26.8388418158651,
-10.2777316330393,
91.0026805723212,
51.3842384580592,
25.7177362178357,
20.6819660018569,
13.2160055492707,
11.9674020671875,
8.37250919379839,
8.04147656570315,
5.91120940480739,
5.88130452658579,
4.46067413024592,
4.54357709887413,
3.52135938580996,
3.64741492262317,
2.87195638268638,
3.01249038514241,
2.40107891771271,
2.54518234399728,
479.082824789297,
25.7177362178356,
81.9752048838911,
3.87639483125218,
35.4507882228172,
0.113645679821434,
20.4915148777389,-0.863416180327189,
13.5775291577582,
-1.13038236496234,
9.76245130476782,-1.17111832832480,
7.4127312233989,
-1.13286318453668,
5.85264484179426,-1.07023218274926,
4.75450266694556,
-1.03361086768973,
-5.24191390578492,
20.6819660018569,
3.87639483125220,
10.1473830496878,
2.59867247170659,
5.50269752126798,
1.83996542953124,
3.79005988674019,
1.38669459038511,
2.82106307414313,
1.09400589109267,
2.20872647954623,
0.892578342559246,
1.79206013263994,
0.74697771289309,
1.49335693251457,
0.63814811828002,
1.27444264945094,
206.906889760163,
13.2160055492707,
35.4507882228172,
2.59867247170659,
16.6109905629090,
0.602799856406373,
9.05756528023798,
0.00745146490876647,
6.01833295152393,
-0.205625036533583,
4.33702720164661,-0.284866480089447,
3.29937624939041,
-0.31022098739626,
2.60923889892753,-0.313153623449324,
2.12281439509553,
-0.319320902757987,
-16.6112007506642,
11.9674020671875,
0.113645679821440,
5.50269752126799,
0.602799856406375,
4.37222611685482,
0.555682454911708,
2.34899878926571,
0.470965892542152,
1.76207220545872,
0.398102450750045,
1.38759849989419,
0.340246150225564,
1.13094197981385,
0.294555419575999,
0.945963527353856,
0.258503823726811,
0.810655572931173,
118.535529409201,
8.37250919379839,
20.4915148777389,
1.83996542953124,
9.05756528023798,
0.55568245491171,
6.2679026327158,
0.148751515975289,
3.50653379110851,
-0.0104620542597434,
2.53054444927127,-0.0792774610151742,
1.92740094166938,
-0.109710508399435,
1.52580928613202,-0.122779863018094,
1.24252174535929,
-0.134663927623972,
-17.1543652651036,
8.04147656570314,
-0.863416180327185,
3.79005988674019,
0.00745146490876721,
2.34899878926571,
0.148751515975288,
2.64721958250804,
0.170192007424219,
1.24126034106371,
0.163819667423694,
0.980739683008915,
0.150848707725052,
0.801413888485434,
0.137164681389349,
0.671761402443555,
0.124821349215947,
0.577030263634357,
78.0140088568987,
5.91120940480739,
13.5775291577582,
1.38669459038512,
6.01833295152393,
0.470965892542152,
3.50653379110851,
0.170192007424219,
3.33717730266757,
0.0468211680798582,
1.6884362817677,-0.0101869863715971,
1.28713491757485,
-0.0381757837302924,
1.01971735770252,-0.0524759439844438,
0.830961270714553,
-0.0644757566855298,-15.7274675244308,
5.88130452658578,
-1.13038236496233,
2.82106307414313,-0.205625036533584,
1.76207220545872,
-0.0104620542597442,
1.24126034106371,
0.0468211680798575,
1.93820864225891,
0.0647695424398446,
0.742949923498118,
0.0690354988659515,
0.608151294372603,
0.0680616915647413,
0.510483565741995,
0.0653416989918433,
0.439176683710025,
55.7884483272507,
4.46067413024592,
9.76245130476783,
1.09400589109267,
4.33702720164660,
0.398102450750046,
2.53054444927127,
0.163819667423695,
1.6884362817677,
0.064769542439845,
2.22079094617128,
0.0171764859489573,
0.931286911490793,
-0.00747530500938581,
0.738242392234413,
-0.021021224088259,
0.601915240749969,
-0.03203651067496,-14.0494010485901,
4.54357709887413,
-1.1711183283248,
2.20872647954623,-0.284866480089447,
1.38759849989419,
-0.0792774610151746,
0.980739683008915,-0.0101869863715972,
0.742949923498117,
0.0171764859489572,
1.58928493949639,
0.0286824042800148,
0.482970816389476,
0.0333235703424761,
0.405820374180135,
0.0349878695854828,
0.349524659273122,
42.166172520358,
3.52135938580996,
7.41273122339891,
0.892578342559246,
3.29937624939041,
0.340246150225564,
1.92740094166938,
0.150848707725053,
1.28713491757485,
0.0690354988659515,
0.931286911490793,
0.0286824042800148,
1.71084925326016,
0.00707399263972138,
0.563778796280048,
-0.00529504634762847,
0.459875647718712,
-0.0151829471109189,-12.5072959384568,
3.64741492262317,
-1.13286318453667,
1.79206013263994,-0.310220987396259,
1.13094197981385,
-0.109710508399435,
0.801413888485435,-0.0381757837302922,
0.608151294372603,
-0.00747530500938585,
0.482970816389477,
0.00707399263972142,
1.39621771689966,
0.0142898061270691,
0.333185678315728,
0.0180625325587579,
0.287211962208656,
33.1590218846548,
2.87195638268638,
5.85264484179426,
0.74697771289309,
2.60923889892753,
0.294555419575998,
1.52580928613202,
0.137164681389349,
1.01971735770252,
0.0680616915647413,
0.738242392234413,
0.0333235703424760,
0.563778796280048,
0.0142898061270690,
1.44732649749502,
0.00310154519130248,
0.365025601254752,-0.00574571223046452,
-11.1881847766414,
3.01249038514241,
-1.07023218274925,
1.49335693251457,
-0.313153623449323,
0.945963527353857,
-0.122779863018094,
0.671761402443556,
-0.0524759439844437,
0.510483565741995,
-0.0210212240882589,
0.405820374180135,
-0.00529504634762835,
0.333185678315728,
0.0031015451913026,
1.28035892633456,
0.00791890918597106,
0.241842351004092,
26.8388418158651,
2.40107891771271,
4.75450266694556,
0.63814811828002,
2.12281439509553,
0.258503823726811,
1.24252174535929,
0.124821349215947,
0.830961270714553,
0.0653416989918431,
0.601915240749969,
0.0349878695854828,
0.459875647718711,
0.0180625325587578,
0.365025601254752,
0.00791890918597096,
1.29797030471212,-3.96925411621815e-05,
-10.2777316330393,
2.54518234399728,
-1.03361086768972,
1.27444264945094,
-0.319320902757986,
0.810655572931173,
-0.134663927623972,
0.577030263634358,
-0.0644757566855298,
0.439176683710025,
-0.0320365106749598,
0.349524659273122,
-0.0151829471109188,
0.287211962208656,
-0.00574571223046431,
0.241842351004092,
-3.96925411620290e-05,
1.20877584667009
),
.Dim = c(18L,
18L)
),
structure(
c(
3514.22547602292,
146.764258793439,
584.307181588571,
10.0893653817167,
254.009531730345,
-10.1490637329552,
146.150218816549,-13.8753902906288,
96.5037555201956,
-13.8937698076466,
69.194222872542,-12.9697624988619,
52.4164054437707,
-11.8586561612077,
41.3005194355219,-10.8047094966945,
33.4887198232198,
-10.1001392503231,
27.1798743224057,
146.764258793439,
56.652668457575,
35.6594770316032,
22.1304861891612,
17.6663274362891,
12.5779535904978,
10.9815827304916,
8.35127859560063,
7.65814589964746,
6.05455478903075,
5.72727000206797,
4.64558282226794,
4.48981537931831,
3.70869929387591,
3.64117618073227,
3.04872165286113,
3.02936846590553,
2.56196151464915,
2.56799161414358,
584.307181588571,
35.6594770316032,
100.735672502751,
6.60981109890912,
43.8487258897588,
1.26578113549954,
25.4149423254321,
-0.278807200972408,
16.8740690854804,-0.803452101999248,
12.1525690200267,
-0.97862939640491,
9.24024691173218,-1.01721709357885,
7.30419375896587,
-1.00186231296899,
5.9401104940794,-1.00194789300737,
4.84590419576402,
10.0893653817168,
22.1304861891612,
6.60981109890913,
10.5456441508548,
3.82225921271678,
5.67056464809431,
2.55731304322424,
3.87523791784541,
1.86700329315745,
2.86869709464457,
1.44224809790931,
2.23677228248376,
1.15884895016750,
1.80890986755795,
0.95846963857986,
1.50331848134545,
0.810892198416451,
1.27905597209502,
0.706052409210554,
254.009531730345,
17.6663274362891,
43.8487258897588,
3.82225921271678,
20.3702442494717,
1.11854189105223,
11.2614888525839,
0.269145888944365,
7.49399642601885,
-0.0592779397778019,
5.40693974312394,-0.198700714678863,
4.11744556129565,
-0.258453159268509,
3.25901040647085,-0.282548527863411,
2.65354000556480,
-0.305147285493504,
2.16922105582738,-10.1490637329552,
12.5779535904978,
1.26578113549954,
5.67056464809432,
1.11854189105223,
4.44298214144864,
0.858044605002461,
2.38490134492194,
0.673416098419182,
1.78214995379351,
0.544886604479026,
1.39941981095085,
0.452479259928021,
1.13804414615694,
0.383699304851197,
0.950162322004103,
0.331315485030886,
0.812600089267607,
0.297601219340015,
146.150218816549,
10.9815827304915,
25.4149423254320,
2.55731304322423,
11.2614888525839,
0.858044605002455,
7.55998864705002,
0.302174125347234,
4.37166548677307,
0.075336309771224,
3.1577980658439,
-0.0287613806036763,
2.40700737173430,-0.0793607777846261,
1.90674839307026,
-0.104837128310724,
1.55366826030237,-0.126354414140946,
1.27174110001032,
-13.8753902906288,
8.35127859560064,-0.278807200972402,
3.87523791784541,
0.269145888944369,
2.38490134492194,
0.302174125347237,
2.66543702067036,
0.272917956569043,
1.25144805979409,
0.238299915274804,
0.986737974752663,
0.207797292537375,
0.805017622921855,
0.182397484120676,
0.673891927151312,
0.161766962503275,
0.578016937297755,
0.151006849269068,
96.5037555201956,
7.65814589964746,
16.8740690854804,
1.86700329315745,
7.49399642601885,
0.67341609841918,
4.37166548677308,
0.272917956569042,
3.91643661090263,
0.104268492279559,
2.10842146765861,
0.0236366614505229,
1.60826115800359,
-0.0178547574066054,
1.27477970794414,-0.0404621706519884,
1.03929315348904,
-0.0589120222205127,
0.851509514144203,-13.8937698076466,
6.05455478903075,
-0.803452101999244,
2.86869709464457,-0.0592779397777991,
1.78214995379351,
0.0753363097712267,
1.25144805979409,
0.104268492279559,
1.94390590945997,
0.106421052894566,
0.746304341863841,
0.100882795889369,
0.610166606980783,
0.0933571841311256,
0.511675016827344,
0.0860027553455959,
0.439728460182207,
0.0844474010564475,
69.194222872542,
5.72727000206798,
12.1525690200267,
1.44224809790931,
5.40693974312394,
0.544886604479026,
3.15779806584390,
0.238299915274804,
2.10842146765861,
0.106421052894566,
2.5252962926719,
0.0416999261701675,
1.16411573592840,
0.0072582174333552,
0.923172365835342,
-0.0123107782576066,
0.752963835515993,-0.0280025900796093,
0.617377013198748,
-12.9697624988619,
4.64558282226793,-0.978629396404913,
2.23677228248375,
-0.198700714678863,
1.39941981095085,-0.0287613806036758,
0.986737974752661,
0.0236366614505227,
0.74630434186384,
0.0416999261701665,
1.59125994298056,
0.0474333517542944,
0.484157385561501,
0.0482169677978249,
0.406521872856873,
0.0471526188314703,
0.349849532421378,
0.0497206648459026,
52.4164054437707,
4.48981537931831,
9.24024691173218,
1.15884895016749,
4.11744556129565,
0.452479259928019,
2.40700737173430,
0.207797292537374,
1.60826115800359,
0.100882795889369,
1.16411573592840,
0.0474333517542947,
1.88887325878904,
0.0183394392060648,
0.705178705515125,
0.00136507599959678,
0.575369405567246,
-0.0120985579503223,
0.472054648201643,
-11.8586561612077,
3.70869929387592,
-1.01721709357884,
1.80890986755795,
-0.258453159268508,
1.13804414615694,
-0.0793607777846247,
0.805017622921855,
-0.0178547574066047,
0.610166606980784,
0.00725821743335516,
0.484157385561502,
0.0183394392060652,
1.39693059989521,
0.0232376618796755,
0.333607134131228,
0.0253710343190887,
0.287407143870679,
0.0298718501469379,
41.3005194355219,
3.64117618073227,
7.30419375896588,
0.958469638579858,
3.25901040647085,
0.383699304851195,
1.90674839307026,
0.182397484120675,
1.27477970794414,
0.0933571841311252,
0.923172365835342,
0.0482169677978249,
0.705178705515125,
0.0232376618796751,
1.55963682481458,
0.00839150983733102,
0.456759335862533,
-0.00329586089688537,
0.374940919969803,
-10.8047094966945,
3.04872165286113,
-1.00186231296899,
1.50331848134545,
-0.282548527863410,
0.950162322004103,
-0.104837128310723,
0.673891927151311,
-0.040462170651988,
0.511675016827344,
-0.0123107782576067,
0.406521872856873,
0.00136507599959707,
0.333607134131228,
0.00839150983733125,
1.28060809065118,
0.0122396891579020,
0.241957742235266,
0.0176602121846702,
33.4887198232198,
3.02936846590552,
5.9401104940794,
0.810892198416449,
2.65354000556480,
0.331315485030885,
1.55366826030237,
0.161766962503274,
1.03929315348904,
0.0860027553455953,
0.752963835515992,
0.04715261883147,
0.575369405567246,
0.0253710343190882,
0.456759335862533,
0.0122396891579016,
1.37289732403374,
0.00196131678208227,
0.306247267432879,
-10.1001392503231,
2.56196151464915,
-1.00194789300736,
1.27905597209502,
-0.305147285493503,
0.812600089267606,
-0.126354414140945,
0.578016937297755,
-0.0589120222205123,
0.439728460182207,
-0.0280025900796093,
0.349849532421379,
-0.0120985579503221,
0.287407143870679,
-0.0032958608968851,
0.241957742235266,
0.00196131678208257,
1.20882928584795,
0.00817867363337702,
27.1798743224057,
2.56799161414358,
4.84590419576402,
0.706052409210551,
2.16922105582737,
0.297601219340013,
1.27174110001032,
0.151006849269067,
0.851509514144202,
0.0844474010564469,
0.617377013198748,
0.0497206648459024,
0.472054648201643,
0.0298718501469374,
0.374940919969803,
0.0176602121846698,
0.306247267432879,
0.00817867363337678,
1.25171653242394
),
.Dim = c(19L,
19L)
),
structure(
c(
3701.44840696554,
113.695992688020,
606.156294024484,-7.29785265102723,
261.720580984518,
-21.4254674486465,
149.912479484322,-21.9889858614517,
98.6519823783009,
-20.1125989387415,
70.5394160688073,-17.9441058508523,
53.3105294573092,
-15.9618877429192,
41.9195599395492,-14.2704851855762,
33.9271731796379,
-13.1021524738154,
27.4454665555356,-15.1974404066730,
113.695992688020,
62.4933537716879,
31.8003756888372,
25.2015050533901,
16.3043627057686,
14.5696493561071,
10.3170731199796,
9.78434310355065,
7.278715148079,
7.15295601336899,
5.48967513933847,
5.52417663999883,
4.33189064936172,
4.43343292107262,
3.53183809904523,
3.66086457875606,
2.95192660452802,
3.09219235564068,
2.52108136337265,
2.68424920473150,
606.156294024484,
31.8003756888373,
103.285486843514,
4.58070451547859,
44.7486134265318,
-0.0501870069509115,
25.8540020919339,-1.22567231516415,
17.1247694132892,
-1.52919598508461,
12.3095544771248,-1.55914048361626,
9.34459212203909,
-1.49606852341153,
7.37643643515306,-1.40632197142389,
5.99127846070652,
-1.35228598526935,
4.87689908797388,-1.77355723741429,
-7.29785265102731,
25.2015050533901,
4.58070451547857,
12.1603787851043,
3.10614129933777,
6.71779368699019,
2.20791542298021,
4.62873993017568,
1.66749947929491,
3.44623392448962,
1.31732126719582,
2.69873488501042,
1.07581249147425,
2.18997313684324,
0.900979927461777,
1.82518181962280,
0.770173446355448,
1.55785012509391,
0.681387107572845,
1.41137203952830,
261.720580984518,
16.3043627057686,
44.7486134265318,
3.10614129933777,
20.6878350504541,
0.654106770718798,
11.4164430409956,-0.0650243687263964,
7.58247427981921,
-0.315409480351710,
5.46234348528618,-0.403576294829211,
4.15427136181613,
-0.427450731673319,
3.28450649176802,-0.425291550346271,
2.67159834601481,
-0.428789574990051,
2.18015985900117,-0.625928730647604,
-21.4254674486465,
14.5696493561071,
-0.0501870069509175,
6.71779368699019,
0.654106770718802,
5.12215792466736,
0.631444316459798,
2.87358175806334,
0.54402877816485,
2.15670892244208,
0.463865858354223,
1.69902362323590,
0.398626330173345,
1.38518105199141,
0.346414605778272,
1.15890537318457,
0.304907517627792,
0.993410809928549,
0.281604646540819,
0.91533912330227,
149.912479484322,
10.3170731199796,
25.8540020919339,
2.20791542298022,
11.4164430409956,
0.631444316459799,
7.63559159408775,
0.139130734579959,
4.41483428758734,
-0.049631588774555,
3.18482983715205,-0.128721231926044,
2.42497486957939,
-0.161815564241015,
1.91918806447347,-0.174482184564970,
1.56247901766638,
-0.186680124341070,
1.27707819844879,-0.305393853225509,
-21.9889858614517,
9.78434310355065,
-1.22567231516415,
4.62873993017568,
-0.0650243687263969,
2.87358175806333,
0.139130734579957,
3.01705224619605,
0.179821219789791,
1.52095064817783,
0.180003885487548,
1.20230884518672,
0.169049044128582,
0.982837516136127,
0.155570405480643,
0.824086682340951,
0.142765907489780,
0.708113828052953,
0.139496998656737,
0.658604608691971,
98.6519823783009,
7.278715148079,
17.1247694132892,
1.66749947929491,
7.58247427981921,
0.544028778164849,
4.41483428758734,
0.179821219789791,
3.94108572098048,
0.0329126188398375,
2.12385643675679,-0.0334397764428412,
1.61852048473616,
-0.0649359148506206,
1.28188268101651,-0.080229053808465,
1.04432403977817,
-0.0933576181879014,
0.854556963330302,-0.174377943404751,
-20.1125989387415,
7.15295601336899,
-1.52919598508462,
3.44623392448962,
-0.31540948035171,
2.15670892244208,
-0.0496315887745566,
1.52095064817783,
0.0329126188398369,
2.15047160932960,
0.0617388839222937,
0.911532987680456,
0.0711834186058779,
0.74646025415069,
0.0727950280940695,
0.626794819232806,
0.071439013117131,
0.539443848634975,
0.0756254436816025,
0.504800798937453,
70.5394160688073,
5.48967513933848,
12.3095544771248,
1.31732126719582,
5.46234348528618,
0.463865858354224,
3.18482983715205,
0.180003885487550,
2.12385643675680,
0.061738883922295,
2.53496148019021,
0.00595936384012936,
1.17053999995195,
-0.0222234234031309,
0.927620160077449,-0.0372123106339053,
0.756114114538811,
-0.0495719979667634,
0.619285288340012,
-0.109193320138243,
-17.9441058508523,
5.52417663999884,-1.55914048361626,
2.69873488501042,
-0.403576294829209,
1.69902362323590,-0.128721231926044,
1.20230884518672,
-0.0334397764428402,
0.911532987680457,
0.00595936384012932,
1.72342373113910,
0.0236772882198089,
0.593176524602997,
0.0317696234457986,
0.498604387379542,
0.0355033110908794,
0.429610299148511,
0.0426641202626646,
0.403782198439627,
53.3105294573092,
4.33189064936172,
9.34459212203908,
1.07581249147426,
4.15427136181613,
0.398626330173344,
2.42497486957939,
0.169049044128582,
1.61852048473616,
0.0711834186058784,
1.17053999995195,
0.0236772882198084,
1.89314334337519,
-0.00125643973800671,
0.708135068697895,
-0.0151864930488915,
0.577463335369652,
-0.0264353280166915,
0.47332304194091,
-0.0725786971898078,
-15.9618877429192,
4.43343292107262,-1.49606852341153,
2.18997313684324,
-0.427450731673319,
1.38518105199141,-0.161815564241016,
0.982837516136128,
-0.0649359148506205,
0.746460254150691,-0.0222234234031314,
0.593176524602996,
-0.00125643973800679,
1.48685820293191,
0.0096705922174014,
0.409564070550109,
0.0157617645031750,
0.353200128764924,
0.0240510544071112,
0.333071473264385,
41.9195599395492,
3.53183809904524,
7.37643643515306,
0.900979927461779,
3.28450649176802,
0.346414605778272,
1.91918806447347,
0.155570405480644,
1.28188268101651,
0.0727950280940698,
0.927620160077448,
0.0317696234457983,
0.708135068697896,
0.0096705922174015,
1.56168364217665,
-0.00306785317168121,
0.458209053508693,-0.0132218233289650,
0.375819083499442,
-0.0502493531206952,-14.2704851855762,
3.66086457875606,
-1.40632197142389,
1.82518181962280,-0.425291550346271,
1.15890537318457,
-0.174482184564971,
0.824086682340952,-0.0802290538084651,
0.626794819232806,
-0.0372123106339058,
0.498604387379541,
-0.0151864930488915,
0.409564070550109,
-0.00306785317168127,
1.34476476774828,
0.00412326359120034,
0.297529484410813,
0.0127437038269759,
0.281327288434012,
33.9271731796379,
2.95192660452802,
5.99127846070652,
0.770173446355448,
2.67159834601481,
0.304907517627791,
1.56247901766638,
0.142765907489780,
1.04432403977817,
0.0714390131171311,
0.75611411453881,
0.0355033110908791,
0.577463335369652,
0.0157617645031748,
0.458209053508693,
0.00412326359120027,
1.37392412852179,
-0.00506903343847453,
0.306869252173055,
-0.0355905589218347,
-13.1021524738154,
3.09219235564068,-1.35228598526935,
1.55785012509391,
-0.42878957499005,
0.993410809928549,-0.186680124341070,
0.708113828052954,
-0.0933576181879012,
0.539443848634976,-0.0495719979667637,
0.429610299148511,
-0.0264353280166914,
0.353200128764924,
-0.0132218233289650,
0.297529484410813,
-0.00506903343847442,
1.25696486063390,
0.00392005321816716,
0.24368231409708,
27.4454665555356,
2.52108136337265,
4.87689908797388,
0.681387107572845,
2.18015985900117,
0.281604646540819,
1.27707819844879,
0.139496998656737,
0.854556963330302,
0.0756254436816024,
0.619285288340011,
0.0426641202626641,
0.47332304194091,
0.0240510544071110,
0.375819083499442,
0.0127437038269757,
0.306869252173055,
0.00392005321816693,
1.25209329842128,
-0.0215589090241893,
-15.1974404066730,
2.68424920473151,
-1.77355723741429,
1.41137203952830,
-0.625928730647603,
0.91533912330227,
-0.305393853225509,
0.658604608691971,
-0.174377943404751,
0.504800798937453,
-0.109193320138244,
0.403782198439627,
-0.0725786971898077,
0.333071473264385,
-0.0502493531206951,
0.281327288434012,
-0.0355905589218345,
0.24368231409708,
-0.0215589090241892,
1.23362129709203
),
.Dim = c(20L,
20L)
)
)
`sM22` <-
structure(
c(
1.10866489886031,
-0.257022055546625,
-0.257022055546625,
0.607927101854027
),
.Dim = c(2L, 2L)
)
`ddst.extr.Nk` <-
function(x,
base = ddst.base.legendre,
Dmax = 5,
n = length(x)) {
sx = sort(x)
er2 = sum(sx * (1:n - n:1)) / (n * (n - 1) * log(2))
er1 = mean(x) + 0.5772156649 * er2
maxN = max(min(Dmax, length(x) - 2, 20), 1)
u = NULL
for (j in 1:maxN)
u[j] = ddst.phi(1 - pgumbel(-x, -er1, er2), j, base)
coord = NULL
gg1 = mean(1 - exp((x - er1) / er2))
gg2 = mean((1 - exp((x - er1) / er2)) * (x - er1) / er2 + 1)
for (k in 1:Dmax) {
korekta = u[1:k] + t(MMextr12[[k]]) %*% sM22 %*% c(gg1, gg2)
coord[k] = t(korekta) %*% MMextr[[k]] %*% korekta * n
}
coord
}
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
Embedding an R snippet on your website
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.