Bivariate Generalization of The Inverted Hypergeometric Function Type I Distribution

The bivariate inverted hypergeometric function type I distribution is defined by the probability density function proportional to (sic) (1 + x(1) + x(2)) -(sic) F-2(1)(alpha, beta; gamma; (1 + x(1) + x(2))(-1)), x(1) > 0, x(2) > 0, where v(1), v(2), alpha, beta and gamma are suitable constants. In this article, we study several properties of this distribution and derive density functions of X-1/X-2, X-1/(X-1 + X-2) and X-1 + X-2. We also consider several products involving bivariate inverted hypergeometric function type I, beta type I, beta type II, beta type III, Kummer-beta and hypergeometric function type I variables.