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Two-step DCC(1,1) on a panel of return series.

Usage

morie_dcc_multivariate_garch(x)

Arguments

x

Numeric matrix of returns (T x k).

Value

Named list with \(a, b, unconditional_correlation, conditional_correlation, conditional_variance, loglik, n, k, method\).

Examples

set.seed(1)
morie_dcc_multivariate_garch(x = matrix(rnorm(150), 50, 3))
#> $a
#> [1] 1e-06
#> 
#> $b
#> [1] 1e-06
#> 
#> $unconditional_correlation
#>             [,1]        [,2]       [,3]
#> [1,]  1.11085533 -0.04482075 0.03329263
#> [2,] -0.04482075  1.05603840 0.01945219
#> [3,]  0.03329263  0.01945219 0.98405142
#> 
#> $conditional_correlation
#> , , 1
#> 
#>       [,1]        [,2]       [,3]
#>  [1,]    1 -0.04138191 0.03184275
#>  [2,]    1 -0.04138213 0.03184316
#>  [3,]    1 -0.04138197 0.03184277
#>  [4,]    1 -0.04138213 0.03184367
#>  [5,]    1 -0.04138398 0.03184332
#>  [6,]    1 -0.04138152 0.03184258
#>  [7,]    1 -0.04138382 0.03184019
#>  [8,]    1 -0.04138212 0.03184314
#>  [9,]    1 -0.04138275 0.03184356
#> [10,]    1 -0.04138164 0.03184305
#> [11,]    1 -0.04138178 0.03184173
#> [12,]    1 -0.04137787 0.03184190
#> [13,]    1 -0.04138196 0.03184263
#> [14,]    1 -0.04138239 0.03184124
#> [15,]    1 -0.04138150 0.03184401
#> [16,]    1 -0.04138294 0.03184265
#> [17,]    1 -0.04138192 0.03184279
#> [18,]    1 -0.04138155 0.03184277
#> [19,]    1 -0.04138044 0.03184258
#> [20,]    1 -0.04138186 0.03184339
#> [21,]    1 -0.04138054 0.03184272
#> [22,]    1 -0.04138152 0.03184230
#> [23,]    1 -0.04138259 0.03184419
#> [24,]    1 -0.04138192 0.03184275
#> [25,]    1 -0.04137896 0.03184272
#> [26,]    1 -0.04138277 0.03184278
#> [27,]    1 -0.04138194 0.03184253
#> [28,]    1 -0.04138172 0.03184271
#> [29,]    1 -0.04138160 0.03184242
#> [30,]    1 -0.04138187 0.03184320
#> [31,]    1 -0.04138219 0.03184266
#> [32,]    1 -0.04138298 0.03184312
#> [33,]    1 -0.04138184 0.03184288
#> [34,]    1 -0.04138148 0.03184304
#> [35,]    1 -0.04138151 0.03184303
#> [36,]    1 -0.04138278 0.03184170
#> [37,]    1 -0.04138205 0.03184375
#> [38,]    1 -0.04138251 0.03184284
#> [39,]    1 -0.04138181 0.03184283
#> [40,]    1 -0.04138153 0.03184197
#> [41,]    1 -0.04138176 0.03184283
#> [42,]    1 -0.04138166 0.03184339
#> [43,]    1 -0.04138241 0.03184206
#> [44,]    1 -0.04138101 0.03184148
#> [45,]    1 -0.04138152 0.03184255
#> [46,]    1 -0.04138346 0.03184375
#> [47,]    1 -0.04138238 0.03184338
#> [48,]    1 -0.04138238 0.03184348
#> [49,]    1 -0.04138254 0.03184287
#> [50,]    1 -0.04138146 0.03184304
#> 
#> , , 2
#> 
#>              [,1] [,2]       [,3]
#>  [1,] -0.04138191    1 0.01908182
#>  [2,] -0.04138213    1 0.01908167
#>  [3,] -0.04138197    1 0.01908165
#>  [4,] -0.04138213    1 0.01908161
#>  [5,] -0.04138398    1 0.01908135
#>  [6,] -0.04138152    1 0.01908101
#>  [7,] -0.04138382    1 0.01908608
#>  [8,] -0.04138212    1 0.01908136
#>  [9,] -0.04138275    1 0.01908046
#> [10,] -0.04138164    1 0.01908208
#> [11,] -0.04138178    1 0.01908127
#> [12,] -0.04137787    1 0.01908064
#> [13,] -0.04138196    1 0.01908187
#> [14,] -0.04138239    1 0.01908279
#> [15,] -0.04138150    1 0.01908187
#> [16,] -0.04138294    1 0.01908186
#> [17,] -0.04138192    1 0.01908180
#> [18,] -0.04138155    1 0.01908216
#> [19,] -0.04138044    1 0.01908160
#> [20,] -0.04138186    1 0.01908184
#> [21,] -0.04138054    1 0.01908172
#> [22,] -0.04138152    1 0.01908166
#> [23,] -0.04138259    1 0.01908021
#> [24,] -0.04138192    1 0.01908178
#> [25,] -0.04137896    1 0.01908184
#> [26,] -0.04138277    1 0.01908171
#> [27,] -0.04138194    1 0.01908200
#> [28,] -0.04138172    1 0.01908176
#> [29,] -0.04138160    1 0.01908180
#> [30,] -0.04138187    1 0.01908185
#> [31,] -0.04138219    1 0.01908197
#> [32,] -0.04138298    1 0.01908162
#> [33,] -0.04138184    1 0.01908196
#> [34,] -0.04138148    1 0.01908277
#> [35,] -0.04138151    1 0.01908471
#> [36,] -0.04138278    1 0.01908208
#> [37,] -0.04138205    1 0.01908142
#> [38,] -0.04138251    1 0.01908165
#> [39,] -0.04138181    1 0.01908201
#> [40,] -0.04138153    1 0.01908166
#> [41,] -0.04138176    1 0.01908184
#> [42,] -0.04138166    1 0.01908327
#> [43,] -0.04138241    1 0.01908347
#> [44,] -0.04138101    1 0.01908001
#> [45,] -0.04138152    1 0.01908162
#> [46,] -0.04138346    1 0.01908019
#> [47,] -0.04138238    1 0.01908151
#> [48,] -0.04138238    1 0.01907810
#> [49,] -0.04138254    1 0.01908170
#> [50,] -0.04138146    1 0.01908343
#> 
#> , , 3
#> 
#>             [,1]       [,2] [,3]
#>  [1,] 0.03184275 0.01908182    1
#>  [2,] 0.03184316 0.01908167    1
#>  [3,] 0.03184277 0.01908165    1
#>  [4,] 0.03184367 0.01908161    1
#>  [5,] 0.03184332 0.01908135    1
#>  [6,] 0.03184258 0.01908101    1
#>  [7,] 0.03184019 0.01908608    1
#>  [8,] 0.03184314 0.01908136    1
#>  [9,] 0.03184356 0.01908046    1
#> [10,] 0.03184305 0.01908208    1
#> [11,] 0.03184173 0.01908127    1
#> [12,] 0.03184190 0.01908064    1
#> [13,] 0.03184263 0.01908187    1
#> [14,] 0.03184124 0.01908279    1
#> [15,] 0.03184401 0.01908187    1
#> [16,] 0.03184265 0.01908186    1
#> [17,] 0.03184279 0.01908180    1
#> [18,] 0.03184277 0.01908216    1
#> [19,] 0.03184258 0.01908160    1
#> [20,] 0.03184339 0.01908184    1
#> [21,] 0.03184272 0.01908172    1
#> [22,] 0.03184230 0.01908166    1
#> [23,] 0.03184419 0.01908021    1
#> [24,] 0.03184275 0.01908178    1
#> [25,] 0.03184272 0.01908184    1
#> [26,] 0.03184278 0.01908171    1
#> [27,] 0.03184253 0.01908200    1
#> [28,] 0.03184271 0.01908176    1
#> [29,] 0.03184242 0.01908180    1
#> [30,] 0.03184320 0.01908185    1
#> [31,] 0.03184266 0.01908197    1
#> [32,] 0.03184312 0.01908162    1
#> [33,] 0.03184288 0.01908196    1
#> [34,] 0.03184304 0.01908277    1
#> [35,] 0.03184303 0.01908471    1
#> [36,] 0.03184170 0.01908208    1
#> [37,] 0.03184375 0.01908142    1
#> [38,] 0.03184284 0.01908165    1
#> [39,] 0.03184283 0.01908201    1
#> [40,] 0.03184197 0.01908166    1
#> [41,] 0.03184283 0.01908184    1
#> [42,] 0.03184339 0.01908327    1
#> [43,] 0.03184206 0.01908347    1
#> [44,] 0.03184148 0.01908001    1
#> [45,] 0.03184255 0.01908162    1
#> [46,] 0.03184375 0.01908019    1
#> [47,] 0.03184338 0.01908151    1
#> [48,] 0.03184348 0.01907810    1
#> [49,] 0.03184287 0.01908170    1
#> [50,] 0.03184304 0.01908343    1
#> 
#> 
#> $conditional_variance
#>            [,1]      [,2]      [,3]
#>  [1,] 0.6912159 0.9386275 0.8095311
#>  [2,] 0.6872126 0.9355623 0.7783807
#>  [3,] 0.6832326 0.9325070 0.7419355
#>  [4,] 0.6792756 0.9294618 0.7463203
#>  [5,] 0.6753415 0.9264265 0.7197965
#>  [6,] 0.6714302 0.9234011 0.7082126
#>  [7,] 0.6675416 0.9203856 0.9143986
#>  [8,] 0.6636754 0.9173799 0.8964976
#>  [9,] 0.6598317 0.9143841 0.9055443
#> [10,] 0.6560102 0.9113980 0.8600251
#> [11,] 0.6522109 0.9084217 1.0165758
#> [12,] 0.6484336 0.9054552 0.9460043
#> [13,] 0.6446781 0.9024983 0.8805232
#> [14,] 0.6409444 0.8995510 0.9794444
#> [15,] 0.6372324 0.8966134 0.9170289
#> [16,] 0.6335418 0.8936853 0.8513828
#> [17,] 0.6298726 0.8907669 0.8019627
#> [18,] 0.6262246 0.8878580 0.7603071
#> [19,] 0.6225978 0.8849585 0.7260126
#> [20,] 0.6189920 0.8820686 0.7236425
#> [21,] 0.6154070 0.8791881 0.6955237
#> [22,] 0.6118428 0.8763169 0.6806870
#> [23,] 0.6082993 0.8734552 0.8012875
#> [24,] 0.6047763 0.8706028 0.7582443
#> [25,] 0.6012737 0.8677597 0.7233912
#> [26,] 0.5977914 0.8649259 0.6954543
#> [27,] 0.5943292 0.8621013 0.7197705
#> [28,] 0.5908871 0.8592860 0.6927583
#> [29,] 0.5874649 0.8564799 0.6714459
#> [30,] 0.5840626 0.8536829 0.6710348
#> [31,] 0.5806799 0.8508951 0.6549792
#> [32,] 0.5773169 0.8481163 0.6430377
#> [33,] 0.5739733 0.8453467 0.6425390
#> [34,] 0.5706491 0.8425861 0.6595482
#> [35,] 0.5673441 0.8398345 0.7609870
#> [36,] 0.5640583 0.8370919 0.7387803
#> [37,] 0.5607915 0.8343582 0.8278987
#> [38,] 0.5575437 0.8316335 0.7808128
#> [39,] 0.5543146 0.8289176 0.7503811
#> [40,] 0.5511042 0.8262107 0.7326817
#> [41,] 0.5479125 0.8235126 0.7033366
#> [42,] 0.5447392 0.8208232 0.8739832
#> [43,] 0.5415843 0.8181427 0.9274115
#> [44,] 0.5384477 0.8154710 1.0031451
#> [45,] 0.5353292 0.8128079 0.9266046
#> [46,] 0.5322288 0.8101536 0.9171664
#> [47,] 0.5291464 0.8075079 0.8737759
#> [48,] 0.5260818 0.8048709 1.1312203
#> [49,] 0.5230349 0.8022424 1.0254654
#> [50,] 0.5200057 0.7996226 1.0191954
#> 
#> $loglik
#> [1] 0.07850073
#> 
#> $n
#> [1] 50
#> 
#> $k
#> [1] 3
#> 
#> $method
#> [1] "DCC(1,1) two-step Gaussian QMLE"
#>