International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 152808, 13 pages
Multivariate Generalization of the Confluent Hypergeometric Function Kind 1 Distribution
Departamento de Matemáticas, Universidad de Antioquia, Calle 67, 53–108 Medellín, Colombia
Received 27 June 2008; Accepted 4 October 2008
Academic Editor: Andrei Volodin
Copyright © 2008 Daya K. Nagar and Fabio Humberto Sepúlveda-Murillo. 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 confluent hypergeometric function kind 1 distribution with the probability density
function (pdf) proportional to occurs as the distribution of the ratio of independent gamma and beta variables. In this article, a multivariate generalization
of this distribution is defined and derived. Several pertinent properties of this multivariate
distribution are discussed that shed some light on the nature of the distribution.