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#' @title Core of Pearson estimating functions
#' @author Wagner Hugo Bonat
#'
#' @description Core of the Pearson estimating function.
#'
#' @param product A matrix.
#' @param inv_C A matrix.
#' @param res A vector of residuals.
#' @param W Matrix of weights.
#' @return A vector
#' @keywords internal
#' @details It is an internal function.
mc_core_pearson <- function(product, inv_C, res, W) {
product <- product %*% W
output <- t(res) %*% product %*%
(inv_C %*% res) - sum(diag(product))
return(as.numeric(output))
}
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