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A NOTE ON THE BIVARIATE GENERALIZED POISSON DISTRIBUTION OF TYPE 1
Keywords:
generalized Poisson distribution, convergence in distribution, generalized bivariate Poisson distribution of type 1DOI:
https://doi.org/10.17654/0972086325007Abstract
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].
Received: November 24, 2024
Accepted: February 11, 2025
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