# Discrete Logistic Exponential Distribution with Application

• Afrah Al-Bossly
• M. S Eliwa Faculty of Science, Mansoura University, Mansoura 35516, Egypt
• Mahmoud El-morshedy
Keywords: Survival discretization; Logistics exponential; Moments; Simulation; Count observations

### Abstract

In this paper, a new two-parameter discrete logistic exponential distribution is proposed based on the survival discretization approach. Some statistical properties are derived, and it is found that the proposed model can be used to discuss several kinds of failure rates including unimodal, bathtub, and increasing-shaped. Moreover, it can be utilized effectively to model under- and over-dispersed data. The distribution parameters are estimated using the maximum likelihood technique. The behavior of maximum likelihood estimators is assessed utilizing a comprehensive simulation study. In the end, two real data are analyzed to show the usefulness of the new discrete distribution.

### Author Biographies

1. College of Statistical and Actuarial Sciences, University of the Punjab, Pakistan. 2. Quality Enhancement Cell, National College of Arts, Lahore, Pakistan
Mahmoud El-morshedy
1. Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia. 2. Department of Statistics and Computer Science, Faculty of Science, Mansoura University, Mansoura 35516, Egypt.

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Published
2023-03-18
How to Cite
Al-Bossly, A., Eliwa, M. S., Ahsan-Ul-Haq, M., & El-morshedy, M. (2023). Discrete Logistic Exponential Distribution with Application. Statistics, Optimization & Information Computing, 11(3), 629-639. https://doi.org/10.19139/soic-2310-5070-1396
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Section
Research Articles