A Bivariate Poisson-Gamma Distribution: Statistical Properties and Practical Applications
Methodology
2025-03-20 v1 Statistics Theory
Statistics Theory
Abstract
Although the specification of bivariate probability models using a collection of assumed conditional distributions is not a novel concept, it has received considerable attention in the last decade. In this study, a bivariate distribution-the bivariate Poisson-Gamma conditional distribution-is introduced, combining both univariate continuous and discrete distributions. This work explores aspects of this model's structure and statistical inference that have not been studied before. This paper contributes to the field of statistical modeling and distribution theory through the use of maximum likelihood estimation, along with simulations and analyses of real data.
Cite
@article{arxiv.2503.15062,
title = {A Bivariate Poisson-Gamma Distribution: Statistical Properties and Practical Applications},
author = {Indranil Ghosh and Mina Norouzirad and Filipe J. Marques},
journal= {arXiv preprint arXiv:2503.15062},
year = {2025}
}