In this paper, an underdispersed weighted Poisson distribution is revisited and its statistical and probabilistic properties are introduced and explored. We describe four parametric estimation methods for estimating unknown parameters of the model. Parameter estimation can be used to guide the selection of the best estimation method for the model parameters. This would be very important for reliability engineers and applied statisticians. Numerical simulation experiments are carried out to assess the performance of the estimators obtained. An application is made with real data in order to validate the best method via a Chi-square test of fit.

weighted Poisson distribution, parametric estimation, numerical simulation, real data

Received: December 11, 2024; Accepted: February 11, 2025; Published: March 7, 2025

How to cite this article: Chedly Gélin LOUZAYADIO, Michel Koukouatikissa DIAFOUKA, Rodnellin Onesime MALOUATA, Depardieu Carmen MOUSSAMA and Dominique MIZERE, Estimation methods for the weighted Poisson distribution, Far East Journal of Theoretical Statistics 69(1) (2025), 109‑128. https://doi.org/10.17654/0972086325005

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

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