On statistical properties and application of Poisson-Sujatha distribution

Tabassum, Riki and Shanker, Rama (2025) On statistical properties and application of Poisson-Sujatha distribution. HUNGARIAN STATISTICAL REVIEW, 8 (2). pp. 94-110. ISSN 2630-9130

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Abstract

The Poisson-Sujatha distribution, the Poisson compound of Sujatha distribution, was introduced to model count data of over-dispersed nature. The proposed distribution has been shown to be log-concave and is a two-component mixture of negative binomial distributions. The hazard function of the distribution has been derived and is increasing and thus the distribution is unimodal. The simulation study has been presented to show the consistency of maximum likelihood estimator of the parameter of Poisson-Sujatha distribution. The Poisson-Sujatha distribution has been applied to three real datasets one from biological science and two from thunderstorm events and found to provide quite satisfactory fit over other competing one parameter over-dispersed count distributions including Poisson-Lindley distribution, Poisson-Garima distribution, Poisson-Komal distribution and Poisson-Akash distribution.

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