Discrete Half-Logistic Distribution: Statistical Properties, Estimation, and Application

Authors

Abd-Elmonem A. M. Teamah, Department of Mathematics, Faculty of Science, Tanta University, Tanta 31527, EgyptFollow
Ahmed A. Elbanna, Department of Mathematics, Faculty of Science, Tanta University, Tanta 31527, EgyptFollow
Ahmed M. Gemeay, Department of Mathematics, Faculty of Science, Tanta University, Tanta 31527, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

This article presented a novel discrete distribution with one parameter derived by the discretization approach and called the discrete half-logistic distribution. Its probability mass function and hazard function have different shapes. A variety of its statistical properties, including moments, probability generating function, incomplete moments, and order statistics, were determined mathematically. Maximum likelihood, moments, and proportion estimation methods were used to estimate its parameter. A simulation study conducts to check the various estimating method’s performance. By using a real data set, its flexibility is assessed. Lastly, it can model count data sets in a way that is compared with other distributions that are already in the scientific literature.

Digital Object Identifier (DOI)

https://dx.doi.org/10.18576/jsap/130119

Recommended Citation

A. M. Teamah, Abd-Elmonem; A. Elbanna, Ahmed; and M. Gemeay, Ahmed (2024) "Discrete Half-Logistic Distribution: Statistical Properties, Estimation, and Application," Journal of Statistics Applications & Probability: Vol. 13: Iss. 1, Article 19.
DOI: https://dx.doi.org/10.18576/jsap/130119
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol13/iss1/19