Kortpad om niesentrale, tweeveranderlike verdelings deur samestelling te ontwikkel

Abstract

Noncentral distributions form an integral part of statistical inference. For example, the noncentral chisquare distribution is particularly useful as it represents the sampling distribution of the sample variance from a normal distribution with unstable expected value. This study develops bivariate noncentral distributions via the compounding method. Some composite distributions (such as the product, ratio, and proportion) are derived, their properties studied, and applied to rainfall data.