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Far East Journal of Theoretical Statistics

Far East Journal of Theoretical Statistics
Volume 69, Issue 2 , Pages 155 - 168 (August 2025)
http://dx.doi.org/10.17654/0972086325007

A NOTE ON THE BIVARIATE GENERALIZED POISSON DISTRIBUTION OF TYPE 1

P. C. Batsindila Nganga, R. F. Mizelé Kitoti, E. Nguessolta and D. Mizère

Abstract:

Given the univariate generalized Poisson distribution as defined by Déniz and Sarabia [5], in this paper, we construct a bivariate generalized Poisson distribution of type 1 whose marginal distributions are univariate generalized Poisson distributions according to Déniz and Sarabia [5]. We also show that this distribution belongs to the family of bivariate Poisson distributions. Under certain conditions, this distribution converges in distribution to the bivariate Poisson distribution of Berkhout and Plug [4]. It also converges to the bivariate Poisson distribution of Lakshminarayana et al. [9].

Keywords and phrases:

generalized Poisson distribution, convergence in distribution, generalized bivariate Poisson distribution of type 1.

Received: November 24, 2024; Accepted: February 11, 2025; Published: April 14, 2025

How to cite this article: P. C. Batsindila Nganga, R. F. Mizele Kitoti, E. Nguessolta and D. Mizère, A note on the bivariate generalized Poisson distribution of type 1, Far East Journal of Theoretical Statistics 69(2) (2025), 155-168. https://doi.org/10.17654/0972086325007

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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