Journal of Applied Mathematics 
Volume 1 (2001), Issue 3, Pages 117-139
doi:10.1155/S1110757X0100701X

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

Abstract

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.