Simulation from an R-Vine Copula Model
This function simulates from a given R-vine copula model.
RVineSim(N, RVM, U = NULL)
N |
Number of d-dimensional observations to simulate. |
RVM |
An |
U |
If not |
An N
x d matrix of data simulated from the given R-vine
copula model.
Jeffrey Dissmann
Dissmann, J. F., E. C. Brechmann, C. Czado, and D. Kurowicka (2013). Selecting and estimating regular vine copulae and application to financial returns. Computational Statistics & Data Analysis, 59 (1), 52-69.
# define 5-dimensional R-vine tree structure matrix Matrix <- c(5, 2, 3, 1, 4, 0, 2, 3, 4, 1, 0, 0, 3, 4, 1, 0, 0, 0, 4, 1, 0, 0, 0, 0, 1) Matrix <- matrix(Matrix, 5, 5) # define R-vine pair-copula family matrix family <- c(0, 1, 3, 4, 4, 0, 0, 3, 4, 1, 0, 0, 0, 4, 1, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0) family <- matrix(family, 5, 5) # define R-vine pair-copula parameter matrix par <- c(0, 0.2, 0.9, 1.5, 3.9, 0, 0, 1.1, 1.6, 0.9, 0, 0, 0, 1.9, 0.5, 0, 0, 0, 0, 4.8, 0, 0, 0, 0, 0) par <- matrix(par, 5, 5) # define second R-vine pair-copula parameter matrix par2 <- matrix(0, 5, 5) # define RVineMatrix object RVM <- RVineMatrix(Matrix = Matrix, family = family, par = par, par2 = par2, names = c("V1", "V2", "V3", "V4", "V5")) # simulate a sample of size 300 from the R-vine copula model set.seed(123) simdata <- RVineSim(300, RVM)
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