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Keywords = Poisson–Ailamujia distribution

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3 pages, 204 KiB  
Comment
Comment on Aljohani et al. The Uniform Poisson–Ailamujia Distribution: Actuarial Measures and Applications in Biological Science. Symmetry 2021, 13, 1258
by Razik Ridzuan Mohd Tajuddin and Noriszura Ismail
Symmetry 2022, 14(1), 121; https://doi.org/10.3390/sym14010121 - 10 Jan 2022
Cited by 2 | Viewed by 1154
Abstract
In this note, we would like to point out that the uniform Poisson–Ailamujia introduced by Aljohani et al. is a reparametrized geometric distribution. Full article
17 pages, 368 KiB  
Article
The Uniform Poisson–Ailamujia Distribution: Actuarial Measures and Applications in Biological Science
by Hassan M. Aljohani, Yunus Akdoğan, Gauss M. Cordeiro and Ahmed Z. Afify
Symmetry 2021, 13(7), 1258; https://doi.org/10.3390/sym13071258 - 13 Jul 2021
Cited by 19 | Viewed by 2960
Abstract
We propose a new asymmetric discrete model by combining the uniform and Poisson–Ailamujia distributions using the binomial decay transformation method. The distribution, named the uniform Poisson–Ailamujia, due to its flexibility is a good alternative to the well-known Poisson and geometric distributions for real [...] Read more.
We propose a new asymmetric discrete model by combining the uniform and Poisson–Ailamujia distributions using the binomial decay transformation method. The distribution, named the uniform Poisson–Ailamujia, due to its flexibility is a good alternative to the well-known Poisson and geometric distributions for real data applications in public health, biology, sociology, medicine, and agriculture. Its main statistical properties are studied, including the cumulative and hazard rate functions, moments, and entropy. The new distribution is considered to be suitable for modeling purposes; its parameter is estimated by eight classical methods. Three applications to biological data are presented herein. Full article
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