clspec: Lspec: logspline estimation of a spectral distribution

Description Usage Arguments Value Author(s) References See Also Examples

View source: R/polspline.R

Description

Autocorrelations, autocovariances (clspec), spectral densities and line spectrum (dlspec), spectral distributions (plspec) or a random time series(rlspec) from a model fitted with lspec.

Usage

1
2
3
4
clspec(lag, fit, cov = TRUE, mm) 
dlspec(freq, fit) 
plspec(freq, fit, mm) 
rlspec(n, fit, mean = 0, cosmodel = FALSE, mm)

Arguments

lag

vector of integer-valued lags for which the autocorrelations or autocorrelations are to be computed.

fit

lspec object, typically the result of lspec.

cov

compute autocovariances (TRUE) or autocorrelations (FALSE).

mm

number of points used in integration and the fft. Default is the smallest power of two larger than max(fit\$sample, max(lag),1024) for clspec and plspec or the smallest power of two larger than max(fit\$sample, n, max(lag), 1024) for (rlspec).

freq

vector of frequencies. For plspec frequencies should be between -pi and pi.

n

length of the random time series to be generated.

mean

mean level of the time series to be generated.

cosmodel

indicate that the data should be generated from a model with constant harmonic terms rather than a true Gaussian time series.

Value

Autocovariances or autocorrelations (clspec); values of the spectral distribution at the requested frequencies. (plspec); random time series of length n (rlspec); or a list with three components (dlspec):

d

the spectral density evaluated at the vector of frequencies,

modfreq

modified frequencies of the form (2pi*j/T) that are close to the frequencies that were requested,

m

mass of the line spectrum at the modified frequencies.

Author(s)

Charles Kooperberg clk@fredhutch.org.

References

Charles Kooperberg, Charles J. Stone, and Young K. Truong (1995). Logspline Estimation of a Possibly Mixed Spectral Distribution. Journal of Time Series Analysis, 16, 359-388.

Charles J. Stone, Mark Hansen, Charles Kooperberg, and Young K. Truong. The use of polynomial splines and their tensor products in extended linear modeling (with discussion) (1997). Annals of Statistics, 25, 1371–1470.

See Also

lspec, plot.lspec, summary.lspec.

Examples

1
2
3
4
5
6
7
data(co2)
co2.detrend <- lm(co2~c(1:length(co2)))$residuals
fit <- lspec(co2.detrend)
clspec(0:12,fit)
plspec((0:314)/100, fit)
dlspec((0:314)/100, fit)
rlspec(length(co2),fit)

Example output

 [1]  6.8090067  6.0799573  4.3196653  2.1912662  0.3590075 -0.8003068
 [7] -1.1949854 -0.8302561  0.2992512  2.1000702  4.1904538  5.8962850
[13]  6.5401107
  [1] 3.404503 3.426596 4.491574 4.512293 4.531761 4.549707 4.565981 4.580497
  [9] 4.593269 4.604354 4.613870 4.621951 4.628757 4.634445 4.639170 4.643077
 [17] 4.646297 4.648946 4.651123 4.652916 4.654394 4.655618 4.656636 4.657489
 [25] 4.658209 4.658822 4.659350 4.659810 4.660217 4.660581 4.660913 4.661221
 [33] 4.661512 4.661792 4.662066 4.662339 4.662615 4.662896 4.663187 4.663491
 [41] 4.663811 4.664151 4.664513 4.664900 4.665315 4.665762 4.666241 4.666755
 [49] 4.667304 4.667888 4.668505 4.669152 4.669825 6.627597 6.628303 6.629017
 [57] 6.629733 6.630445 6.631148 6.631837 6.632507 6.633155 6.633779 6.634375
 [65] 6.634943 6.635480 6.635987 6.636463 6.636909 6.637325 6.637712 6.638072
 [73] 6.638406 6.638715 6.639001 6.639266 6.639511 6.639737 6.639947 6.640141
 [81] 6.640322 6.640490 6.640646 6.640793 6.640930 6.641060 6.641182 6.641298
 [89] 6.641409 6.641516 6.641619 6.641719 6.641817 6.641913 6.642008 6.642104
 [97] 6.642200 6.642298 6.642398 6.642503 6.642612 6.642727 6.642850 6.642983
[105] 6.643128 6.790515 6.790676 6.790841 6.791006 6.791170 6.791333 6.791493
[113] 6.791653 6.791810 6.791967 6.792121 6.792274 6.792426 6.792576 6.792725
[121] 6.792873 6.793019 6.793163 6.793307 6.793449 6.793590 6.793729 6.793867
[129] 6.794004 6.794140 6.794275 6.794408 6.794540 6.794671 6.794801 6.794930
[137] 6.795057 6.795184 6.795309 6.795434 6.795557 6.795679 6.795801 6.795921
[145] 6.796040 6.796159 6.796276 6.796392 6.796508 6.796622 6.796736 6.796849
[153] 6.796960 6.797071 6.797182 6.797291 6.797399 6.797507 6.797614 6.797720
[161] 6.797825 6.797929 6.798033 6.798136 6.798238 6.798339 6.798440 6.798540
[169] 6.798639 6.798737 6.798835 6.798932 6.799029 6.799125 6.799220 6.799315
[177] 6.799408 6.799502 6.799594 6.799686 6.799778 6.799869 6.799959 6.800049
[185] 6.800138 6.800226 6.800314 6.800402 6.800489 6.800575 6.800661 6.800747
[193] 6.800831 6.800916 6.801000 6.801083 6.801166 6.801248 6.801330 6.801412
[201] 6.801493 6.801574 6.801654 6.801733 6.801813 6.801892 6.801970 6.802048
[209] 6.802126 6.802203 6.802280 6.802357 6.802433 6.802508 6.802584 6.802659
[217] 6.802733 6.802808 6.802882 6.802955 6.803028 6.803101 6.803174 6.803246
[225] 6.803318 6.803390 6.803461 6.803532 6.803603 6.803673 6.803744 6.803813
[233] 6.803883 6.803952 6.804021 6.804090 6.804159 6.804227 6.804295 6.804363
[241] 6.804430 6.804497 6.804564 6.804631 6.804698 6.804764 6.804830 6.804896
[249] 6.804962 6.805027 6.805093 6.805158 6.805222 6.805287 6.805352 6.805416
[257] 6.805480 6.805544 6.805608 6.805671 6.805735 6.805798 6.805861 6.805924
[265] 6.805987 6.806049 6.806112 6.806174 6.806236 6.806298 6.806360 6.806422
[273] 6.806484 6.806545 6.806607 6.806668 6.806729 6.806790 6.806851 6.806912
[281] 6.806973 6.807033 6.807094 6.807154 6.807214 6.807275 6.807335 6.807395
[289] 6.807455 6.807515 6.807575 6.807635 6.807694 6.807754 6.807814 6.807873
[297] 6.807933 6.807992 6.808051 6.808111 6.808170 6.808229 6.808289 6.808348
[305] 6.808407 6.808466 6.808525 6.808584 6.808643 6.808702 6.808761 6.808820
[313] 6.808879 6.808938 6.808997
$d
  [1] 2.217291416 2.193527084 2.123891291 2.014481020 1.874285194 1.712985950
  [7] 1.540003091 1.363776123 1.191303189 1.027929408 0.877344333 0.741731445
 [13] 0.622009719 0.518114264 0.429275257 0.354268166 0.291620734 0.239772129
 [19] 0.197186447 0.162426738 0.134197403 0.111362986 0.092950518 0.078141365
 [25] 0.066257102 0.056742723 0.049149402 0.043118205 0.038365556 0.034670871
 [31] 0.031866507 0.029830072 0.028460248 0.027643544 0.027295149 0.027357725
 [37] 0.027793504 0.028578637 0.029698918 0.031146318 0.032915906 0.035002897
 [43] 0.037399629 0.040092374 0.043057963 0.046260302 0.049646972 0.053146229
 [49] 0.056664828 0.060087229 0.063276772 0.066079391 0.068350598 0.070034398
 [55] 0.071113906 0.071590105 0.071480579 0.070817565 0.069645500 0.068018263
 [61] 0.065996316 0.063643902 0.061026451 0.058208301 0.055250789 0.052210768
 [67] 0.049139527 0.046082117 0.043077026 0.040156155 0.037345037 0.034663253
 [73] 0.032124964 0.029739535 0.027512190 0.025444672 0.023535887 0.021782490
 [79] 0.020179437 0.018720453 0.017398457 0.016205911 0.015135118 0.014178459
 [85] 0.013328596 0.012578626 0.011922209 0.011353668 0.010868081 0.010461359
 [91] 0.010130318 0.009872772 0.009687627 0.009575012 0.009536436 0.009575005
 [97] 0.009695703 0.009905770 0.010215206 0.010637442 0.011190250 0.011896962
[103] 0.012788140 0.013870172 0.014986954 0.015881701 0.016377120 0.016536256
[109] 0.016475199 0.016320886 0.016160162 0.016001794 0.015845745 0.015691976
[115] 0.015540451 0.015391133 0.015243987 0.015098978 0.014956072 0.014815234
[121] 0.014676433 0.014539635 0.014404808 0.014271922 0.014140946 0.014011849
[127] 0.013884602 0.013759176 0.013635542 0.013513673 0.013393541 0.013275118
[133] 0.013158379 0.013043297 0.012929847 0.012818003 0.012707742 0.012599038
[139] 0.012491868 0.012386208 0.012282037 0.012179330 0.012078066 0.011978223
[145] 0.011879780 0.011782716 0.011687010 0.011592642 0.011499592 0.011407841
[151] 0.011317369 0.011228157 0.011140187 0.011053441 0.010967901 0.010883549
[157] 0.010800368 0.010718341 0.010637451 0.010557682 0.010479019 0.010401444
[163] 0.010324943 0.010249500 0.010175100 0.010101729 0.010029372 0.009958015
[169] 0.009887644 0.009818244 0.009749804 0.009682308 0.009615745 0.009550101
[175] 0.009485364 0.009421521 0.009358561 0.009296470 0.009235239 0.009174854
[181] 0.009115305 0.009056580 0.008998669 0.008941560 0.008885244 0.008829709
[187] 0.008774946 0.008720944 0.008667693 0.008615184 0.008563408 0.008512354
[193] 0.008462014 0.008412378 0.008363437 0.008315184 0.008267609 0.008220703
[199] 0.008174459 0.008128868 0.008083922 0.008039614 0.007995935 0.007952878
[205] 0.007910435 0.007868599 0.007827363 0.007786720 0.007746662 0.007707183
[211] 0.007668276 0.007629934 0.007592151 0.007554921 0.007518237 0.007482092
[217] 0.007446482 0.007411399 0.007376838 0.007342794 0.007309260 0.007276231
[223] 0.007243702 0.007211666 0.007180120 0.007149057 0.007118473 0.007088363
[229] 0.007058721 0.007029543 0.007000824 0.006972560 0.006944746 0.006917377
[235] 0.006890449 0.006863958 0.006837899 0.006812269 0.006787063 0.006762277
[241] 0.006737907 0.006713950 0.006690402 0.006667259 0.006644517 0.006622173
[247] 0.006600223 0.006578664 0.006557492 0.006536705 0.006516299 0.006496270
[253] 0.006476617 0.006457335 0.006438421 0.006419874 0.006401689 0.006383865
[259] 0.006366398 0.006349286 0.006332527 0.006316117 0.006300054 0.006284335
[265] 0.006268960 0.006253924 0.006239226 0.006224863 0.006210834 0.006197136
[271] 0.006183767 0.006170726 0.006158010 0.006145617 0.006133546 0.006121794
[277] 0.006110361 0.006099244 0.006088441 0.006077952 0.006067774 0.006057905
[283] 0.006048346 0.006039093 0.006030147 0.006021504 0.006013165 0.006005128
[289] 0.005997391 0.005989955 0.005982816 0.005975975 0.005969431 0.005963182
[295] 0.005957228 0.005951567 0.005946200 0.005941124 0.005936340 0.005931846
[301] 0.005927643 0.005923729 0.005920104 0.005916767 0.005913718 0.005910957
[307] 0.005908482 0.005906294 0.005904392 0.005902777 0.005901447 0.005900403
[313] 0.005899644 0.005899171 0.005898983

$modfreq
  [1] 0.00000000 0.01342561 0.01342561 0.02685122 0.04027683 0.05370244
  [7] 0.05370244 0.06712805 0.08055366 0.09397927 0.09397927 0.10740488
 [13] 0.12083049 0.13425610 0.13425610 0.14768171 0.16110732 0.17453293
 [19] 0.17453293 0.18795853 0.20138414 0.21480975 0.21480975 0.22823536
 [25] 0.24166097 0.25508658 0.25508658 0.26851219 0.28193780 0.29536341
 [31] 0.29536341 0.30878902 0.32221463 0.33564024 0.33564024 0.34906585
 [37] 0.36249146 0.37591707 0.37591707 0.38934268 0.40276829 0.41619390
 [43] 0.41619390 0.42961951 0.44304512 0.45647073 0.45647073 0.46989634
 [49] 0.48332195 0.48332195 0.49674756 0.51017317 0.52359878 0.52359878
 [55] 0.53702439 0.55044999 0.56387560 0.56387560 0.57730121 0.59072682
 [61] 0.60415243 0.60415243 0.61757804 0.63100365 0.64442926 0.64442926
 [67] 0.65785487 0.67128048 0.68470609 0.68470609 0.69813170 0.71155731
 [73] 0.72498292 0.72498292 0.73840853 0.75183414 0.76525975 0.76525975
 [79] 0.77868536 0.79211097 0.80553658 0.80553658 0.81896219 0.83238780
 [85] 0.84581341 0.84581341 0.85923902 0.87266463 0.88609024 0.88609024
 [91] 0.89951585 0.91294145 0.92636706 0.92636706 0.93979267 0.95321828
 [97] 0.96664389 0.96664389 0.98006950 0.99349511 0.99349511 1.00692072
[103] 1.02034633 1.03377194 1.03377194 1.04719755 1.06062316 1.07404877
[109] 1.07404877 1.08747438 1.10089999 1.11432560 1.11432560 1.12775121
[115] 1.14117682 1.15460243 1.15460243 1.16802804 1.18145365 1.19487926
[121] 1.19487926 1.20830487 1.22173048 1.23515609 1.23515609 1.24858170
[127] 1.26200731 1.27543291 1.27543291 1.28885852 1.30228413 1.31570974
[133] 1.31570974 1.32913535 1.34256096 1.35598657 1.35598657 1.36941218
[139] 1.38283779 1.39626340 1.39626340 1.40968901 1.42311462 1.43654023
[145] 1.43654023 1.44996584 1.46339145 1.46339145 1.47681706 1.49024267
[151] 1.50366828 1.50366828 1.51709389 1.53051950 1.54394511 1.54394511
[157] 1.55737072 1.57079633 1.58422194 1.58422194 1.59764755 1.61107316
[163] 1.62449877 1.62449877 1.63792437 1.65134998 1.66477559 1.66477559
[169] 1.67820120 1.69162681 1.70505242 1.70505242 1.71847803 1.73190364
[175] 1.74532925 1.74532925 1.75875486 1.77218047 1.78560608 1.78560608
[181] 1.79903169 1.81245730 1.82588291 1.82588291 1.83930852 1.85273413
[187] 1.86615974 1.86615974 1.87958535 1.89301096 1.90643657 1.90643657
[193] 1.91986218 1.93328779 1.93328779 1.94671340 1.96013901 1.97356462
[199] 1.97356462 1.98699023 2.00041583 2.01384144 2.01384144 2.02726705
[205] 2.04069266 2.05411827 2.05411827 2.06754388 2.08096949 2.09439510
[211] 2.09439510 2.10782071 2.12124632 2.13467193 2.13467193 2.14809754
[217] 2.16152315 2.17494876 2.17494876 2.18837437 2.20179998 2.21522559
[223] 2.21522559 2.22865120 2.24207681 2.25550242 2.25550242 2.26892803
[229] 2.28235364 2.29577925 2.29577925 2.30920486 2.32263047 2.33605608
[235] 2.33605608 2.34948169 2.36290730 2.37633290 2.37633290 2.38975851
[241] 2.40318412 2.41660973 2.41660973 2.43003534 2.44346095 2.44346095
[247] 2.45688656 2.47031217 2.48373778 2.48373778 2.49716339 2.51058900
[253] 2.52401461 2.52401461 2.53744022 2.55086583 2.56429144 2.56429144
[259] 2.57771705 2.59114266 2.60456827 2.60456827 2.61799388 2.63141949
[265] 2.64484510 2.64484510 2.65827071 2.67169632 2.68512193 2.68512193
[271] 2.69854754 2.71197315 2.72539876 2.72539876 2.73882436 2.75224997
[277] 2.76567558 2.76567558 2.77910119 2.79252680 2.80595241 2.80595241
[283] 2.81937802 2.83280363 2.84622924 2.84622924 2.85965485 2.87308046
[289] 2.88650607 2.88650607 2.89993168 2.91335729 2.91335729 2.92678290
[295] 2.94020851 2.95363412 2.95363412 2.96705973 2.98048534 2.99391095
[301] 2.99391095 3.00733656 3.02076217 3.03418778 3.03418778 3.04761339
[307] 3.06103900 3.07446461 3.07446461 3.08789022 3.10131582 3.11474143
[313] 3.11474143 3.12816704 3.14159265

$m
  [1]        NA 1.0433531 1.0433531 0.0000000 0.0000000 0.0000000 0.0000000
  [8] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
 [15] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
 [22] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
 [29] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
 [36] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
 [43] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
 [50] 0.0000000 0.0000000 0.0000000 1.9570799 1.9570799 0.0000000 0.0000000
 [57] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
 [64] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
 [71] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
 [78] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
 [85] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
 [92] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
 [99] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
[106] 0.1472322 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
[113] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
[120] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
[127] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
[134] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
[141] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
[148] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
[155] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
[162] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
[169] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
[176] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
[183] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
[190] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
[197] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
[204] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
[211] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
[218] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
[225] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
[232] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
[239] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
[246] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
[253] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
[260] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
[267] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
[274] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
[281] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
[288] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
[295] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
[302] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
[309] 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000

  [1]  2.845484450  1.416900225 -0.921144732 -2.828871703 -3.894105362
  [6] -3.859997958 -2.299929564  0.149149338  2.183169502  4.206229296
 [11]  5.087226137  5.320877155  4.501539301  2.363404646 -0.214532084
 [16] -2.208656272 -2.910513641 -2.315242329 -1.683856533  0.146974123
 [21]  1.886783929  3.591494528  4.515283247  4.635946530  3.736233743
 [26]  1.808766580 -0.753801550 -2.260469598 -3.859731115 -3.776391685
 [31] -2.819040953 -1.087455584  1.264136074  3.025236494  3.991831141
 [36]  3.979488801  2.728234831  0.621302539 -1.099672436 -3.057630070
 [41] -3.454141679 -3.844370357 -2.766962667 -1.164367476  0.665080959
 [46]  2.485834098  3.467571093  3.947801867  2.481533251  0.422403679
 [51] -1.361552617 -3.297411100 -4.356982583 -4.414643805 -3.499965785
 [56] -1.606079118  0.527434053  2.297849907  3.707193041  3.385638681
 [61]  2.124018253  0.765533931 -1.313966410 -3.474101508 -4.773240588
 [66] -4.556717780 -3.901353538 -1.944030375  0.348730259  2.647148681
 [71]  3.796677306  4.034525505  3.019304016  1.067031778 -0.983507940
 [76] -2.714792966 -3.588438213 -4.026384858 -3.454219158 -1.252713911
 [81]  0.176558154  2.267198495  3.531074530  3.095379004  2.331959818
 [86]  0.720429517 -1.515610959 -3.428001524 -4.348242901 -4.297203877
 [91] -4.307252062 -2.528801357 -0.373505916  1.538173974  2.894146257
 [96]  3.114308972  2.433185863  0.828626705 -1.219891466 -3.141703813
[101] -4.818997022 -5.121196859 -3.793276713 -1.402552649  0.322010703
[106]  2.524728992  4.010068822  4.223847343  3.036229594  1.725609008
[111] -0.321709322 -3.084263823 -3.815266354 -3.799603749 -2.629079402
[116] -1.022272306  1.377899434  3.316275005  3.895803075  3.899753902
[121]  3.356630764  1.871955588 -0.624946612 -3.031335710 -4.065774888
[126] -3.983282359 -3.024047322 -1.153841458  1.821374965  3.723581340
[131]  5.236765613  5.139577221  3.352609745  2.089334463  0.115701399
[136] -2.069596557 -3.927451599 -3.530262605 -1.681790443  0.231152323
[141]  2.942936515  4.529862155  4.809521251  5.268632485  4.011831411
[146]  1.592596351 -0.971396744 -2.777072429 -3.039426396 -3.288885016
[151] -1.860830705  0.425755153  2.098808640  4.049406702  5.101945117
[156]  5.191429150  4.182886891  1.926985998 -0.244437077 -1.901684614
[161] -3.022269511 -3.075288383 -1.686543156 -0.060839799  2.037613950
[166]  4.120093456  5.296455284  4.931747530  3.727501965  2.001934669
[171]  0.157398076 -2.215702215 -2.840503510 -2.379344686 -1.856943406
[176] -0.062725647  2.171485249  3.859055992  4.367104784  4.568270501
[181]  3.285476376  0.922853927 -1.060396533 -2.393603298 -3.412486235
[186] -3.526717990 -2.539887154 -0.852162147  1.238031883  3.407153908
[191]  4.384483233  4.000227569  3.375715293  1.689937056 -0.570698375
[196] -2.195175988 -3.270385373 -2.945630708 -1.657423772  0.014660802
[201]  1.931655742  4.168206545  5.241975642  4.857282493  3.473063683
[206]  2.068916450 -0.705602130 -2.544351548 -3.789806835 -3.881850358
[211] -2.232175580 -0.308917181  1.741463594  3.333930225  4.236125691
[216]  3.934451151  2.854775901  0.965166182 -1.617909111 -3.068435035
[221] -4.129022383 -3.994865735 -3.207037681 -1.992643026 -0.099262872
[226]  2.264048544  3.201950600  3.094715511  2.248748306  0.516053575
[231] -1.885078700 -3.725960003 -4.832815055 -4.668086734 -3.781747740
[236] -2.203427248  0.208168027  1.769245376  3.098225506  3.940578696
[241]  2.272178555  0.591779586 -1.862461153 -3.685273262 -4.719802331
[246] -4.625764877 -4.060652412 -2.320877434  0.102850470  1.998492558
[251]  3.954198477  3.975088333  2.830794179  1.817015726 -0.324864913
[256] -2.294071241 -3.336660862 -3.750160692 -2.711990407 -0.225303244
[261]  1.874119843  3.354697338  4.286318003  4.380571469  3.481270145
[266]  1.531182516 -0.189301779 -1.945299232 -3.229693815 -3.683473508
[271] -2.918362385 -1.025821909  0.888222281  2.861597235  4.095528038
[276]  4.925289283  3.777346668  1.622020574 -1.145550731 -3.029725483
[281] -4.806211669 -4.792075130 -3.418907427 -1.540484462  0.478697842
[286]  3.001778670  3.723593651  3.575307971  2.255663444  0.258055709
[291] -1.771507950 -3.872550445 -4.958158028 -4.486460947 -3.535565566
[296] -1.948617261 -0.009907672  1.198982437  2.446351651  2.689906158
[301]  1.728635407  0.373040373 -1.904974527 -3.802295691 -4.814007530
[306] -4.789573067 -3.678170021 -1.551921198  0.303832227  2.319883846
[311]  3.437340544  2.895980376  2.437948838  0.633667634 -1.568233512
[316] -3.183537662 -4.098022122 -4.169996420 -2.840299630 -0.926915171
[321]  1.145052393  3.323035263  4.415699046  4.449353358  2.988835487
[326]  1.593086734 -0.498666444 -2.840944817 -3.850248534 -4.188340197
[331] -3.215231478 -1.552639893  0.694474212  2.524262570  3.478743644
[336]  3.560566499  2.365796735  0.781208261 -0.968315814 -3.466935246
[341] -4.536357233 -4.463322239 -3.628546410 -1.462330273  0.563843651
[346]  2.915799826  3.618884140  3.607809961  1.872974243  0.217234143
[351] -1.750358704 -2.900452414 -3.298838591 -4.048876218 -2.619737495
[356] -0.342658777  1.263306091  2.791428026  4.507271793  3.920688122
[361]  3.048437252  1.835365450 -0.368630731 -2.450506483 -3.074756217
[366] -2.888914823 -2.154982755 -0.642153154  1.260964098  3.169526879
[371]  4.508788802  3.952057450  2.721148404  1.222585105 -0.816246044
[376] -2.844373636 -3.999431601 -3.789046666 -3.327898412 -0.879018837
[381]  0.626099966  2.035733680  3.393686734  3.151807285  2.025412462
[386]  0.448416063 -1.889716945 -3.556122235 -4.526441488 -4.955075666
[391] -3.246940547 -1.759600152  0.231165033  1.633256674  3.347550557
[396]  3.225712280  2.272198839  0.480074178 -1.748346890 -2.766387697
[401] -4.390966008 -4.305590290 -3.091811307 -1.504541584  1.076242879
[406]  3.004756487  3.807668886  3.971310071  3.182113885  1.049284922
[411] -1.469219016 -3.178387344 -4.371923002 -4.244263642 -3.251448252
[416] -1.028766844  1.050321834  2.733008103  3.780688825  3.918550605
[421]  2.237571557  1.140337770 -1.359791331 -2.908913401 -4.058908376
[426] -4.107617267 -2.659435556 -0.786222153  1.212307696  2.775809039
[431]  3.256425725  3.630229333  3.370423313  1.411590068 -1.230320128
[436] -3.504780837 -5.123362537 -4.983269555 -3.493821747 -1.661170661
[441]  0.022641164  1.968749629  3.243522938  2.654555919  1.923668531
[446]  0.114459870 -2.337011409 -4.496151675 -5.276274091 -5.064557289
[451] -4.060538808 -2.297137765 -0.429739054  1.515699968  2.035345729
[456]  2.405835536  1.220091633 -1.186187950 -3.030627360 -5.143177966
[461] -6.178489431 -5.644675595 -4.295489556 -2.263136845  0.063700769
[466]  1.255903732  2.310469420  2.214701237

polspline documentation built on July 1, 2020, 6:32 p.m.

Related to clspec in polspline...