The Mathematical Basis of Inversec2 and Inverse-Wishart Distribution Used in Animal Breeding Applications

Authors : M. Ziya FIRAT, Yüksel BEK

Pages : 485-488

View : 11 | Download : 6

Publication Date : 0000-00-00

Article Type : Research Paper

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