% Generated by roxygen2: do not edit by hand % Please edit documentation in R/multivariance-functions.R \name{pearson.qf} \alias{pearson.qf} \title{approximate distribution function of a Gaussian quadratic form} \usage{ pearson.qf(x, moment, lower.tail = TRUE, verbose = FALSE) } \arguments{ \item{x}{value at which the distribution function is to be evaluated} \item{moment}{vector with the mean, variance and skewness of the quadratic form} \item{lower.tail}{logical, indicating of the lower or upper tail of the distribution function should be calculated} \item{verbose}{logical, if \code{TRUE} a warning is issued if negative moments are sanitized to 0.} } \description{ Approximation of the of the value of the distribution function of a Gaussian quadratic form based on its first three moments. } \details{ This is Pearson's approximation for Gaussian quadratic forms as stated in [4] (equation (4.65) in arXiv:1808.07280v2) } \references{ For the theoretic background see the reference [4] given on the main help page of this package: \link{multivariance-package}. }