QuadraticEstimatingEquations/R/eqn.Crowder.R

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2014-02-24 02:05:36 +00:00
# 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))
}