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knitr::opts_chunk$set( collapse = TRUE, comment = "#>" )
library(VecDep)
First, let us fix some parameters.
q = 4 dim = c(2,2) n = 1000
Construct a four dimensional hierarchical Gumbel copula with parameters (theta_0,theta_1,theta_2) = (2,3,4)
hac = gethac(dim,c(2,3,4),type = 1)
Draw a sample of size n from the copula
sample = suppressWarnings(HAC::rHAC(n,hac))
Estimate the mutual information between two random vectors of size two via pseudo maximum likelihood estimation
estphi(sample,dim,list("hac",type = 1,M = 10000),function(t){t * log(t)})
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