Description Usage Arguments Details Value
Likelihood function (spectral density) and random generator in the Pairwise Beta and NL models.
1 2 3 4 5 6 7 8 9 10 11  dnestlog(x = rbind(c(0.1, 0.3, 0.6), c(0.3, 0.3, 0.4)),
par = c(0.5, 0.5, 0.2, 0.3), log = FALSE,
vectorial = T)
dpairbeta(x, par = c(1, rep(2, choose(4, 2) + 1)),
log = FALSE, vectorial = TRUE)
rnestlog(n = 5, par = c(0.2, 0.3, 0.4, 0.5),
threshold = 1000, return.points = FALSE)
rpairbeta(n = 1, dimData = 3, par = c(1, rep(1, 3)))

x 
An angular data set (may be reduced to a single
point). A 
par 
The parameter for the Pairwise Beta or the Nested Logistic density.

log 
Logical. Should the density be returned on the log scale ? 
vectorial 
Logical. Should a vector or a single value be returned ? 
threshold 
The radial threshold r above which the simulated points should be kept to build the angular dataset. Should be set to a high value, for the asymptotic approximation P(W \in B  X >r) ~ H(B) to hold. 
return.points 
logical: should the censored vectorial dataset corresponding to the angular one be returned ? 
n 
The number of points on the simplex to be generated. 
dimData 
the dimension of the sample space, which is 1 + the dimension of the simplex. 
Applies to angular data sets. The density is given with
respect to the Lebesgue measure on
R^(p1), where p
is the number of
columns in x
(or the length of x
, if the
latter is a single point).
The value returned by the likelihood function is imposed
(see e.g. posteriorMCMC
. In
contrast, the random variable have unconstrained output
format.
dpairbeta
returns the
likelihood as a single number if vectorial
==FALSE
, or as a vector of size nrow(x)
containing the likelihood of each angular data point. If
log == TRUE
, the loglikelihood is returned
instead. rpairbeta
returns a matrix with n
rows and dimData
columns.
dnestlog
returns the likelihood as a single number if
vectorial ==FALSE
, or as a vector of size
nrow(x)
containing the likelihood of each angular
data point. If log == TRUE
, the loglikelihood is
returned instead. rnestlog
returns a matrix with
n
rows and dimData
columns if
return.points==FALSE
(the default). Otherwise, a
list is returned, with two elements:
Angles
: The angular data set
Points
:
The full trivariate data set above threshold
(i.e. Angles
multiplied by the radial
components)
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