Work

A Note on the Bivariate Generalized Poisson Distribution of Type 1

Year: 2025

Type: article

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].

Source: Far East Journal of Theoretical Statistics

DOI: 10.17654/0972086325007

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

Language: English

Topic: Statistical Distribution Estimation and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4409407920

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Related to: 10