The discrete power-Ailamujia distribution: properties, inference, and applications

Abdulaziz S. Alghamdi; Muhammad Ahsan-ul-Haq; Ayesha Babar; Hassan M. Aljohani; Ahmed Z. Afify; Abdulaziz S. Alghamdi; Muhammad Ahsan-ul-Haq; Ayesha Babar; Hassan M. Aljohani; Ahmed Z. Afify

doi:10.3934/math.2022465

AIMS Mathematics

2022, Volume 7, Issue 5: 8344-8360. doi: 10.3934/math.2022465

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Research article

The discrete power-Ailamujia distribution: properties, inference, and applications

1.
Department of Mathematics, College of Science & Arts, King Abdulaziz University, P.O. Box 344, Rabigh 21911, Saudi Arabia
2.
College of Statistical & Actuarial Sciences, University of the Punjab, Lahore, Pakistan
3.
Quality Enhancement Cell, National College of Arts, Lahore, Pakistan
4.
School of Statistics, Minhaj University Lahore, Lahore Pakistan
5.
Department of Mathematics & Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
6.
Department of Statistics, Mathematics and Insurance, Benha University, Benha 13511, Egypt

Received: 12 January 2022 Revised: 07 February 2022 Accepted: 22 February 2022 Published: 28 February 2022
MSC : 60E05, 62E10, 62F10, 62N05, 62P10

In this article, a new two-parameter discrete power-Ailamujia (DsPA) distribution is derived using the survival discretization technique. Some key distributional properties and reliability measures are explored in closed forms, such as probability generating function, first four moments and mean residual life. The DsPA parameters are estimated using the maximum likelihood approach. The performance of this estimation method is assessed via a simulation study. The flexibility of the DsPA distribution is shown using three count datasets. The DsPA distribution provides a better fit than some recent discrete models such as the discrete Burr-Ⅻ, uniform Poisson–Ailamujia, Poisson, discrete-Pareto, discrete-Rayleigh, discrete inverse-Rayleigh, and discrete Burr–Hutke distributions.
- power-Ailamujia distribution,
- discretization,
- reliability analysis,
- parameter estimation,
- mean residual life
Citation: Abdulaziz S. Alghamdi, Muhammad Ahsan-ul-Haq, Ayesha Babar, Hassan M. Aljohani, Ahmed Z. Afify. The discrete power-Ailamujia distribution: properties, inference, and applications[J]. AIMS Mathematics, 2022, 7(5): 8344-8360. doi: 10.3934/math.2022465

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Abstract

In this article, a new two-parameter discrete power-Ailamujia (DsPA) distribution is derived using the survival discretization technique. Some key distributional properties and reliability measures are explored in closed forms, such as probability generating function, first four moments and mean residual life. The DsPA parameters are estimated using the maximum likelihood approach. The performance of this estimation method is assessed via a simulation study. The flexibility of the DsPA distribution is shown using three count datasets. The DsPA distribution provides a better fit than some recent discrete models such as the discrete Burr-Ⅻ, uniform Poisson–Ailamujia, Poisson, discrete-Pareto, discrete-Rayleigh, discrete inverse-Rayleigh, and discrete Burr–Hutke distributions.

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