#' t Distribution Generation with Copula
#'
#' Generate t distribution with provided copula of p features and n samples
#'
#' @param copula Copula used to generate t distribution
#' @param p Number of features
#' @param n Number of samples
#'
#' @return A list of data, multivariate mean and multivariate standard deviation
#'
#' @keywords copula, t distribution
#'
#' @examples
#'
#' out_copula = gaussianCopula(p = 100, n = 500, type = "diag")
#' out_data = tDistributionGeneration(copula = out_copula, p = 100, n = 500)
#'
#' @export
tDistributionGeneration <- function(copula, p, n){
## t distribution
df_list = list()
for(i in 1 : p){
df_list[[i]] = sample(5 : 20, 1)
}
data = c()
for(i in 1 : p){
data = cbind(data, unlist(lapply(copula$U[, i], function(x){qt(x, df_list[[i]])})))
}
return(list(data = data, df_list = df_list))
}
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