This paper reviews bivariate COM-Poisson laws as the type 1, type 2 and type 3 models. The COM-Poisson distributions of type 1, type 2 and type 3 are shown to be members of the family of bivariate  Poisson distributions. Functional relationships among them are also established.

univariate COM-Poisson distribution, bivariate COM-Poisson distribution.

Received: March 28, 2024; Revised: April 29, 2024; Accepted: May 9, 2024

How to cite this article: Emmanuel NGUESSOLTA, Réolie Foxie MIZELE KITOTI, Rufin BIDOUNGA and Dominique MIZERE, A review of bivariate COM-Poisson distributions  into type 1, type 2 and type 3 models, Far East Journal of Theoretical Statistics 68(2) (2024), 237-254. https://doi.org/10.17654/0972086324014

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