Simulate from multivariate MixAR models
mixVAR_sim.RdSimulate data from multivariate MixAR models under the assumptions of multivariate Gaussian innovarion
Details
mixVAR_sim simulates a series of length nskip + n and returns
the last n values. init provides initial values for the
algorithm. Each row is considered as a time point. The number of rows
must be at least equal to the maximal AR order.
Examples
AR <- list()
AR[[1]] <- array(c(0.5,-0.3,-0.6,0,0,0.5,0.4,0.5,-0.3), dim = c(3,3,1))
AR[[2]] <- array(c(-0.5,0.3,0,1,0,-0.5,-0.4,-0.2, 0.5), dim = c(3,3,1))
prob <- c(0.75, 0.25)
shift <- cbind(c(0,0,0), c(0,0,0))
Sigma1 <- cbind(c(1, 0.5, -0.4), c(0.5, 2, 0.8), c(-0.4, 0.8, 4))
Sigma2 <- cbind(c(1,0.2, 0), c(0.2, 2, -0.15), c(0, -0.15, 4))
Sigma <- array(c(Sigma1, Sigma2), dim = c(3,3,2))
m <- new("MixVARGaussian", prob=prob, vcov=Sigma, arcoef=AR, shift=shift)
mixVAR_sim(m, n=500, init=matrix(rep(0,3), ncol=3), nskip=100, flag=FALSE)
#> [,1] [,2] [,3]
#> -2.336238570 -6.280878130 1.44687446
#> -0.879145854 2.676059013 -0.95350422
#> -0.763205473 -0.414873518 1.41222381
#> 0.014177101 -0.372360850 0.85024212
#> -0.152367756 -0.772784953 -1.21912027
#> 0.884956942 -2.631206642 -1.34986079
#> -0.055224648 -1.756466761 -2.40594307
#> -0.466465877 -0.960724622 -1.46020788
#> -0.337766196 -0.041510511 1.55175686
#> -1.880045720 -1.597079769 0.44349826
#> 0.076058948 -1.274074367 -1.02053097
#> 0.669356450 -0.021795888 -2.80529677
#> 1.740644332 0.580027709 -2.26346814
#> 1.617856460 -3.504782954 -0.64014806
#> -0.575999855 -1.673557076 -3.13737320
#> -1.063179893 -3.552539023 -5.33489627
#> -1.044257561 -0.322868730 -0.43697243
#> -1.333417112 0.993685566 0.98372651
#> 1.785275285 -1.941277442 -0.38301796
#> 0.791626077 -0.357706498 1.26935145
#> -3.154534077 0.886838348 0.80668615
#> 0.057509919 0.749000862 -3.49773259
#> -0.863038192 -2.215639311 -0.68781774
#> -2.155573305 -0.205265056 5.66359823
#> 0.845685292 2.651944034 2.98376673
#> 1.197778767 -0.313243368 -2.68262074
#> -0.815542853 1.026386636 2.31059825
#> 1.256426920 -0.451142797 1.20265614
#> -0.955055654 0.483118728 1.12815045
#> 0.811796344 0.906820482 0.79070622
#> 0.009165060 2.466375513 3.01926368
#> -0.663830118 0.928558705 1.63791045
#> 1.031997126 2.062866943 -0.39578949
#> 0.527190573 0.781737000 -4.32161153
#> -0.395691478 -1.682704171 -2.32287408
#> 0.360489197 0.136761540 -1.65636596
#> 1.171627875 2.214638065 2.17712177
#> -0.474608272 -0.807758194 0.29173160
#> 0.204729098 -0.891704087 -4.96124586
#> -2.427595544 -4.220385391 0.73374418
#> -1.636554782 0.555244222 -2.23957397
#> -2.400393791 -0.910328414 4.52863051
#> 1.436639091 2.525118626 -2.96882668
#> 0.389264371 -3.940282097 -1.56946765
#> -1.262478295 -2.640948901 -3.64221848
#> -0.764914082 -1.469439211 -1.11343646
#> 0.052944141 -0.205181972 -2.41070845
#> -1.657014042 -0.131575719 4.66759093
#> 2.753387287 4.343058808 -0.53505355
#> -0.630069071 -2.549130985 0.34028715
#> 0.296522736 0.568456865 -0.94477246
#> 2.661977124 0.990019256 -1.33239692
#> 0.535139478 -1.635800307 -2.22093002
#> 0.323922689 0.335937264 -1.33508903
#> -0.795493625 -0.000237571 -1.78320634
#> 0.669508533 0.524798882 -1.12240254
#> -0.110346092 -2.618220573 -1.02078602
#> -2.473452868 -1.740444326 1.39015316
#> -0.272757672 1.379673155 -1.66824761
#> -1.581526943 -2.262758729 1.29301044
#> 0.626567730 1.554315214 -1.83667979
#> 0.067803959 -0.235791236 2.63100208
#> 0.403907577 -0.446668243 -1.34077561
#> 0.327360218 1.401225954 0.14053625
#> 1.602607244 -0.106810792 3.68559118
#> 3.526744213 1.320340528 -2.63898741
#> 0.599673728 1.768699931 -3.11459173
#> -0.858480752 -2.947142457 -0.89578934
#> -1.304059855 0.940035370 -0.13802671
#> 2.899314421 -0.517066172 -1.09619657
#> -2.480808405 0.981459401 -0.56356308
#> -1.439347796 1.315323405 4.04231664
#> 1.275033314 4.156893971 2.61284228
#> -1.304382663 -0.108702863 2.02288707
#> -1.182849888 -0.106262086 0.59763479
#> -1.317273310 -1.599185063 1.90609651
#> -0.678756553 1.787282109 0.46215415
#> 1.248292323 1.221922383 2.29114280
#> 0.782177440 -0.489543516 -2.75643301
#> -0.049003317 -0.110537242 -2.36061881
#> -0.026053112 -0.989582754 0.70650860
#> -0.048132565 2.059031445 2.43928277
#> 2.118667744 0.458292176 1.34272810
#> 0.947289786 -1.303821922 -0.86030579
#> -1.383259628 1.493062770 3.77081919
#> 1.629973445 1.619650551 0.38646276
#> 2.844906529 1.247482674 -3.34629851
#> 1.011647111 -2.931488396 -1.54876956
#> -3.940264539 0.051469632 2.08071678
#> 0.284079336 2.726374894 1.43231268
#> 0.909281784 1.623804318 -1.10638808
#> 0.322801454 0.899086095 2.91479655
#> 1.587293817 -0.343584635 -2.59781487
#> -1.277009580 -3.912753246 -0.51350647
#> -0.352523921 -2.760703591 -0.33663618
#> -2.714716639 -1.174470428 2.78528057
#> 0.544907207 2.259462041 -1.69024827
#> 1.828600988 -1.921878581 1.85633565
#> 1.669648130 -1.231187242 -7.05392564
#> 0.280243112 1.162845408 -5.69167824
#> 0.593814577 -1.564099190 -1.07063174
#> 1.107208509 1.129874187 0.43375940
#> 1.047476309 0.330328738 0.96935798
#> -0.074205902 -1.209415689 -2.73755319
#> -1.351322520 -1.033310557 1.51452369
#> 0.679136590 3.418424488 1.29968268
#> 2.411128031 2.095954454 -0.17416263
#> 1.943647128 0.015384367 -0.11454176
#> 0.184243511 -0.025955171 -0.71070318
#> -0.474426688 1.021328878 2.33815323
#> 0.975772008 -4.182283974 -1.01980762
#> 0.744351273 -1.507419678 -1.89434838
#> 0.156485070 0.214730982 -1.78954032
#> -0.811606833 -0.164088673 3.16302737
#> 0.965225879 1.847687087 -3.10042450
#> 3.254069677 1.225957821 -1.20408046
#> 1.161993527 0.605576659 -0.77046125
#> 0.232962692 -0.639797363 1.46571548
#> -0.078213291 0.905387319 0.40717950
#> -0.927132881 0.103930561 -0.54650974
#> 1.121528862 0.872152011 -2.68721477
#> 0.506478388 -1.308885462 -0.62995665
#> -0.694197391 -2.199027932 -0.26732932
#> -3.388952355 -0.508896049 1.88015299
#> -0.671776240 3.168055390 1.51622531
#> 2.049999191 0.697032590 4.00304157
#> 0.967198952 -0.690081139 -3.88287063
#> -2.348538227 -0.286917140 2.89168683
#> 1.145441579 1.652559963 0.20205138
#> 2.202462291 1.868006046 0.34943879
#> 0.688244766 -1.052384236 -0.08863272
#> -1.591391725 -0.783587833 3.66201433
#> -0.028799575 2.608575829 0.65510308
#> 1.034753305 1.575422895 4.95651549
#> 2.798724401 1.625651080 -1.30847713
#> 1.027600014 -4.370169404 -1.31357267
#> -0.034851038 -1.270199306 -2.37194188
#> -2.799687457 -1.159475265 0.49992657
#> -2.270318421 -3.058556844 -0.50128457
#> -1.143790562 0.208218390 -1.25702428
#> -1.084960401 -1.286513215 2.27362783
#> 1.256771892 3.166753748 1.01624915
#> 0.497049060 0.326127448 3.03612952
#> -0.497635653 0.025837176 3.89821977
#> 0.511595249 2.312992968 1.82067416
#> 1.091038187 -0.034462538 -0.54568098
#> 1.533148292 -0.112495100 -0.53349553
#> 0.046629459 -1.849930331 -3.91871548
#> -0.746735514 -1.048567472 -2.27530636
#> 0.662459583 0.719950014 -0.23680878
#> 0.690915028 2.544410484 0.11560673
#> 1.766309872 0.914980870 1.68124974
#> 1.668060465 3.865085992 -0.46966248
#> 0.192979555 -0.223103960 2.05493840
#> 1.423627470 -0.153455915 -1.45615460
#> 1.585275709 -1.543361506 -1.56431808
#> -1.151132268 -0.065946115 2.28541246
#> 0.021960117 -0.570904602 -2.01040272
#> -0.612264468 1.629277441 0.30044730
#> 0.476661657 -1.181237286 -2.38755695
#> 0.539846321 0.431343749 -2.96444583
#> 0.030181503 -1.085842062 0.00748961
#> 1.484289117 -1.010415413 -1.31875266
#> -0.647460329 -0.811551491 2.10568691
#> 0.696409705 2.902212834 -0.37068537
#> 1.856657685 -1.609171599 -4.32381624
#> -1.164849328 -5.896495247 -4.18395692
#> -0.623575955 -1.195340511 1.34145934
#> 0.233084771 -0.149903628 1.27239356
#> -0.522180913 0.755681555 2.28333426
#> -1.900105472 -0.740870405 1.98517683
#> -0.406098295 2.055889317 2.02227841
#> 1.431204133 1.610623307 0.82038191
#> -0.620405461 -0.503021614 1.02519529
#> 0.232626257 -1.617075430 -4.28137270
#> -1.392605254 -1.459315253 -0.88225562
#> -0.704117995 1.104247395 2.38471460
#> 1.466536673 1.485304991 -2.86907406
#> -0.774524183 -0.700927247 1.91060113
#> -0.397081556 1.394765936 -0.42541076
#> 0.898157485 0.054890823 0.08999199
#> -0.169023967 -1.166598910 1.84062105
#> 0.609004537 0.280556982 -0.42173193
#> 0.965298332 -0.243489856 -0.94235729
#> -0.437678095 -3.483721011 -0.60090622
#> -0.319820854 -0.773786383 -3.39116664
#> -0.619934058 -1.947993544 0.80996385
#> 2.010640667 0.099647934 -2.64461158
#> 0.281203683 0.763872649 -2.34453586
#> -0.183346698 -1.115227223 -1.21590857
#> -1.635256642 -0.260033673 -1.37927037
#> -2.013275544 1.296252932 1.87240944
#> -0.800349857 2.802822285 4.15161075
#> 2.067305254 1.003402976 -0.96853874
#> 0.694731713 -2.999973152 -1.59351475
#> -0.353668589 -1.042541294 -1.01085745
#> -0.204873664 1.370425622 -0.12925070
#> 0.687262551 -0.266121440 -1.16473901
#> 0.169553567 1.394979213 1.28829765
#> 2.296765779 2.983452789 3.75765888
#> -1.087284172 -1.149659966 -0.69572694
#> -1.278022949 -0.495303023 1.14778476
#> -1.616700099 -1.437547136 -0.27014012
#> -1.602964433 -0.266083926 2.61991851
#> 1.260325668 1.942613458 -2.81680316
#> 2.344909956 0.482423047 3.27750590
#> -3.903439934 -0.457171828 2.94091458
#> -0.354030719 3.714586310 2.49094956
#> 0.487769150 0.675871582 -0.50477428
#> 0.681112830 -2.886138864 -1.01272318
#> 0.441522713 -0.446354163 1.14378422
#> 1.295845936 -0.569595686 -1.29669059
#> 0.284718656 -0.796772992 -1.65279901
#> -1.314078965 -1.186899237 1.76212116
#> 0.978952241 0.720105920 -0.54972206
#> -0.610423362 -0.722461112 -1.82534300
#> -1.165142309 -2.793898885 1.07093083
#> -2.303281512 -1.745799840 3.88520137
#> 1.373449779 -0.161796525 0.70090351
#> 2.262967263 0.300306830 -2.30329962
#> -0.951858978 -3.451434464 -1.82411867
#> -3.531080608 -1.753844149 1.51148657
#> -1.516690154 3.776863768 1.19728976
#> 0.083238332 1.497744427 0.68298867
#> 0.378531198 -0.851644616 3.15521802
#> 2.013081203 1.154325257 -3.89841387
#> -0.489989048 -2.124449554 -0.06302918
#> -1.307377871 -1.443647560 -1.28218666
#> -0.405924713 0.828463441 -2.00594342
#> 0.865756326 -2.680180940 -1.10804179
#> 0.544766299 0.007013980 0.85556367
#> 0.814050383 -0.045988243 2.04454392
#> 1.927714953 1.443865649 -2.87328518
#> -0.695818356 -3.767990459 0.01778958
#> 0.854269246 -0.078942613 -1.66954033
#> 0.358827452 -3.431118500 -3.27829322
#> -1.965766169 -1.527953364 -0.56869506
#> -0.229681367 -1.210797040 -0.78460048
#> -2.740612319 2.149870453 2.30742270
#> -1.100170357 1.447209041 1.79706428
#> 3.071309187 -0.504279924 1.00122554
#> -1.687996050 1.826173239 -2.61806032
#> -1.388955467 -1.908209391 2.30283486
#> -1.418841876 1.166338404 -2.44615224
#> -3.945639869 -3.951060417 -0.72017601
#> -1.767132483 1.547798248 1.95487509
#> -0.634585986 1.736956614 2.19013980
#> 0.045645818 0.028257161 2.56306846
#> 2.977376384 4.647443943 1.22746749
#> 2.470228312 0.465410107 -2.31510903
#> 0.351905278 -2.522099147 -4.42924850
#> -0.896767756 1.366271724 -2.86419767
#> 1.175544536 -0.212748037 -8.34320366
#> -0.831585126 -3.433686927 -0.32903009
#> -2.886974773 -0.342815340 -1.75999353
#> -2.588112040 0.820700366 0.17998809
#> -2.306874214 -0.023809925 4.26778571
#> 0.378263034 3.735250219 1.78598265
#> 0.251371294 -0.815042629 1.21902677
#> 0.683158453 2.302373223 -1.53684543
#> 2.321884420 1.479109215 -3.27687118
#> 1.651796170 2.068972041 -3.20822068
#> -1.505277039 -2.019979406 0.71893276
#> -2.363245556 0.747504677 0.32001456
#> -2.760129581 -0.284318788 1.47948345
#> -0.949998517 1.803601127 -1.82342152
#> -2.449635494 -1.104447264 4.91162759
#> 0.115184941 2.136085841 2.25685605
#> 0.992604103 0.293416094 2.27885701
#> 2.224641221 2.523850920 -2.43656342
#> 1.403930451 -4.262168773 -1.97510432
#> -4.739732857 1.117243809 0.18588941
#> -1.744184009 2.395480846 4.70363975
#> 1.952937911 1.502875856 2.16561198
#> 1.678997657 -1.110154410 -4.74445547
#> -1.640746261 -3.967146066 -3.91994660
#> -1.896780452 1.038776557 -2.59460139
#> -2.293432816 -2.588418387 1.99885135
#> -1.527802883 -4.190949152 7.00237935
#> -7.311031143 -0.720323339 9.71104591
#> -0.992656693 6.158496767 3.11270436
#> -0.503656995 0.745899965 5.75743080
#> 0.439008606 -1.576564530 7.07902819
#> 4.990405214 3.550253097 -5.09899382
#> 0.048703345 -2.142761340 1.83347508
#> -2.261284091 -0.324713592 2.35513242
#> -0.344812955 3.220180021 0.20213534
#> 1.803090222 1.716579408 3.54772409
#> 4.002255767 1.068336725 -5.02601864
#> -0.645165493 -2.739886381 2.26416525
#> -3.044556664 0.513514571 4.35097507
#> 1.407975877 4.304753220 0.42590263
#> 1.687758354 -0.578005160 1.58398882
#> 1.020600309 0.948936679 -0.58725290
#> 0.571120862 0.434304788 0.09779588
#> -0.567824886 1.084658873 0.80859358
#> 1.575414924 -0.442883210 -3.88587693
#> -0.204298170 -2.445556504 1.04074027
#> -0.813221547 -1.789498289 4.50173450
#> 1.110517007 2.197138205 -2.76751864
#> -1.315804448 -3.379398717 1.30295760
#> 0.526508818 0.495419160 -4.61464214
#> 1.710077229 1.661647060 -4.01477973
#> -1.679814033 -4.114739260 1.97936962
#> -0.116448974 5.940695488 1.25517999
#> 0.396686417 0.448564126 1.27110296
#> 0.020638509 -0.025437859 -3.04726981
#> -0.606820730 1.412829353 -6.17437691
#> -2.497218655 -1.135683411 0.10538932
#> 0.495551092 1.446978461 1.57544999
#> 1.791041438 -0.234350876 0.76295050
#> 1.301015556 2.360314839 3.80819805
#> 2.599683267 2.943984767 -1.28408131
#> 0.524634485 -2.601656318 -2.46448168
#> -0.774453731 -1.246132428 0.53063613
#> -0.572840135 -0.840887065 -0.76661024
#> 1.235576138 0.900561366 0.52269058
#> 1.277412670 2.807356863 3.15429446
#> 1.524322427 0.894845149 -0.98020596
#> 0.356003855 -0.494053200 -0.97868155
#> -1.613821947 -0.831644824 2.82301530
#> 0.660029278 -1.500179924 3.50087378
#> 1.683271685 1.187570270 -3.54046625
#> -1.799074598 0.033887474 2.92613319
#> -2.050064536 -1.832514332 4.56710382
#> 0.816304985 3.399285446 0.65508655
#> 1.701783250 1.276504539 1.83705542
#> 3.361523171 3.152268076 -0.28540208
#> 1.315066426 -1.095305639 0.37212164
#> -2.525202075 1.226711353 -1.87362724
#> -0.474547063 -3.031125356 2.06630126
#> -3.634084999 0.230047572 1.70379962
#> 1.134851717 2.304820947 1.42053624
#> 2.348253686 1.632426166 0.40224296
#> 1.328960074 -1.202481567 -3.42591506
#> 0.165014982 -1.612622412 -2.42274821
#> -0.804150087 2.278895004 2.08562261
#> -0.575180224 2.134639441 1.63739298
#> 2.081718372 -1.689378658 -0.62383705
#> -1.308576620 -2.502945834 -2.37699660
#> -0.644736967 -1.872900554 0.37658383
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