A Generalization of the Bivariate Gamma Distribution Based on Generalized Hypergeometric Functions

In this paper, we provide a new bivariate distribution obtained from Kibble-type gamma distribution. The stochastic representation was by the sum of random vector and builded two independent variables. addition, resulting density considers an infinite series products confluent hypergeometric functions. particular, derive probability cumulative functions, moment generation characteristic Hazard, Bonferroni Lorenz approximation for differential entropy mutual information index. Numerical examples showed behavior exact approximated expressions.