Bivariate generalization of the Gauss hypergeometric distribution

ABSTRACT: The bivariate generalization of the Gauss hypergeometric distribution is defined by the probability density function proportional to x α1−1y α2−1 (1 − x − y) β−1 (1 + ξ1x + ξ2y) −γ , x > 0, y > 0, x + y < 1, where αi > 0, i = 1, 2, β > 0, −∞ < γ < ∞ and ξi > −1, i =...