Authors: M. Ziya FIRAT, Yüksel BEK
Abstract: The chi-square and Wishart distributions play an important role in animal breeding applications, especially in the estima-tion of variance components using Bayesian methods. These two distributions are so related that one can easily be derived from the other. In other words, the chi-square distribution is a particular case of the Wishart distribution or the Wishart distribution is a mul-tivariate generalization of the chi-square distribution. This article provides a simple mathematical basis of the above-mentioned dis-tributions; it shows how one is derived from the other and in what from they are used in animal breeding applications.
Keywords: Chi-square distribution, Wishart distribution, animal breeding, variance components
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