Journal of Applied Mathematics
Volume 1 (2001), Issue 3, Pages 117-139

Matrix variate Kummer-Dirichlet distributions

Arjun K. Gupta,1 Liliam Cardeño,2 and Daya K. Nagar2

1Department of Mathematics and Statistics, Bowling Green State University, Bowling Green 43403-0221, OH, USA
2Departamento de Matemáticas, Universidad de Antioquia, Medellín A. A. 1226, Colombia

Received 15 July 2000; Revised 8 June 2001

Copyright © 2001 Arjun K. Gupta et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The multivariate Kummer-Beta and multivariate Kummer-Gamma families of distributions have been proposed and studied recently by Ng and Kotz. These distributions are extensions of Kummer-Beta and Kummer-Gamma distributions. In this article we propose and study matrix variate generalizations of multivariate Kummer-Beta and multivariate Kummer-Gamma families of distributions.