Product and Quotient of Independent Gauss Hypergeometric Variables

Abstract

In this article, we have derived the probability density functions of the productand the quotient of two independent random variables having Gauss hypergeometricdistribution. These densities have been expressed in terms of Appell'srst hypergeometric function F1. Further, Renyi and Shannon entropies havealso been derived for the Gauss hypergeometric distribution. MSC: 33Cxx, 33C65

Keywords

• Appell's first hypergeometric function
• beta distribution
• Gauss hypergeometric distribution
• quotient
• transformation