Generalized Bivariate Kummer-Beta Distribution

Abstract

A new bivariate beta distribution based on the Humbert’s confluent hypergeometric function of the second kind is introduced. Various representations are derived for its product moments, marginal densities, marginal moments, conditional densities and entropies.

Keywords

• Beta function
• beta distribution
• entropy
• bivariate distribution
• gamma function
• Kummer-beta distribution