A New Flexible Unit Haq Distribution with Entomology and Biomedical Applications

Authors

  • Mohammed Elgarhy Faculty of Computers and Information Systems, Egyptian Chinese University, Nasr City, Egypt; Department of Computer Engineering, Biruni University, 34010, Istanbul, Turkey
  • Rana H. Khashab Mathematics Department, Faculty of Sciences, Umm Al-Qura University, Makkah, Saudi Arabia
  • Muhammad Ahsan-u-Haq College of Statistical Sciences, University of the Punjab, Lahore Pakistan
  • Muhammad Ibrahim Department of Statistics, Government College University (GCU) Lahore, Pakistan
  • Ghareeb A. Marei Faculty of Computers and Information Systems, Egyptian Chinese University, Nasr City, Egypt
  • Neema M. Elharoun Department of Statistics and Insurance, Faculty of Commerce, Arish University, El-Arish 45511, Egypt

DOI:

https://doi.org/10.19139/soic-2310-5070-4777

Keywords:

Haq distribution, unit model, moments, reliability measures, Simulation, Biomedical data

Abstract

This paper proposes a new one-parameter unit Haq distribution to measure percentage data. Various statisticaland reliability properties of the new distribution, such as moments and other measures connected with them, hazard function,and reversed hazard were examined. It was shown that the new model density function was suitable for modeling asymmetricdata, and its failure rate function could effectively describe an increasing failure rate. Six estimation methods were used toestimate the parameters of the new distribution. A Monte Carlo simulation study was conducted on different sample sizes toevaluate the performance of these estimators. Lastly, the flexibility of the proposed model was exemplified by consideringthree datasets from entomology, COVID-19, and kidney dialysis patients to estimate the factors related to the unit interval.

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Published

2026-10-05

How to Cite

Elgarhy, M., Khashab, R. H., Ahsan-u-Haq, M., Ibrahim, M., Marei, G. A., & Elharoun, N. M. (2026). A New Flexible Unit Haq Distribution with Entomology and Biomedical Applications. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-4777

Issue

Online First

Section

Research Articles

Categories

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Copyright (c) 2026 Mohammed Elgarhy, Rana H. Khashab, Muhammad Ahsan-u-Haq, Muhammad Ibrahim, Ghareeb A. Marei, Neema M. Elharoun

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