The mathematical basis of inverse chi(2) and inverse-Wishart distribution used in animal breeding applications

Firat M. Z., BEK Y.

TURKISH JOURNAL OF VETERINARY & ANIMAL SCIENCES, vol.22, no.6, pp.485-488, 1998 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 22 Issue: 6
  • Publication Date: 1998
  • Journal Name: TURKISH JOURNAL OF VETERINARY & ANIMAL SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.485-488
  • Keywords: chi-square distribution, Wishart distribution, animal breeding, variance components, PARAMETERS
  • Akdeniz University Affiliated: No

Abstract

The chi-square and Wishart distributions play an important role in animal breeding applications, especially in the estimation 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 multivariate generalization of the chi-square distribution. This article provides a simple mathematical basis of the above-mentioned distributions; it shows how one is derived from the other and in what from they are used in animal breeding applications.

The chi-square and Wishart distributions play an important role in animal breeding applications, especially in the estimation 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 multivariate generalization of the chi-square distribution. This article provides a simple mathematical basis of the above-mentioned distributions; it shows how one is derived from the other and in what from they are used in animal breeding applications.