QuadraticEstimatingEquations/R/b.Crowder.Mod.R

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# Second weighting vector of the modified quadratic estimating equation (Crowder)
#
# Author: Francois Pelletier
#
# LGPL-3.0
###############################################################################
#' Second weighting vector of the modified quadratic estimating equation (Crowder)
#'
#' @param param Vector of parameters of the distribution function
#' @param Y Individual data sample
#' @param variancef Variance 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 First weighting vector
#' @export b.Crowder.Mod
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#' @author Francois Pelletier
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b.Crowder.Mod <- function(param,Y,variancef,dmean,dsd)
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{
(moments::skewness(Y)*dmean(param)-2*dsd(param)) /
(variancef(param)^(3/2)*gammaf.Crowder.Mod(Y))
}