BIVARIATE GENERALIZATION OF THE HYPERGEOMETRIC FUNCTION TYPE I DISTRIBUTION

Daya K. Nagar (Colombia) and Paula A. Bran-Cardona (Colombia)

Received April 25, 2008

Abstract

The bivariate generalization of the hypergeometric function type I distribution is defined by the probability density function proportional to where a, b and g are suitably chosen constants and is the Gauss hypergeometric function. In this article, we study several properties of this distribution and derive density functions of and

Keywords and phrases: beta distribution, Dirichlet distribution, hypergeometric function, moments, transformation.