# Quadratic estimating equation (Crowder) # # Author: Francois Pelletier # # LGPL-3.0 ############################################################################### #' Quadratic estimating equation (Crowder) #' @param Y Individual data sample #' @param param Vector of parameters of the distribution function #' @param meanf Mean function of the distribution #' @param variancef Variance function of the distribution #' @param skewnessf Skewness function of the distribution #' @param kurtosisf Kurtosis function of the distribution #' @param dmean Derivative in respect to the parameter vector of the mean function of the distribution #' @param dsd Derivative in respect to the parameter vector of the standard deviation function of the distribution #' @return The vector value of the estimating equation #' #' @author Francois Pelletier eqn.Crowder <- function(param,Y,meanf,variancef,skewnessf,kurtosisf,dmean,dsd) { a.Crowder(param,variancef,skewnessf,kurtosisf,dmean,dsd) * sum(Y-meanf(param)) + b.Crowder(param,variancef,skewnessf,kurtosisf,dmean,dsd) * sum((Y-meanf(param))^2-variancef(param)) }