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The Gull Alpha Power Lomax distributions: Properties, simulation, and applications to modeling COVID-19 mortality rates

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  • Ahlam H Tolba
  • Abdisalam Hassan Muse
  • Aisha Fayomi
  • Hanan M Baaqeel
  • Ehab M Almetwally

Abstract

The Gull Alpha Power Lomax distribution is a new extension of the Lomax distribution that we developed in this paper (GAPL). The proposed distribution’s appropriateness stems from its usefulness to model both monotonic and non-monotonic hazard rate functions, which are widely used in reliability engineering and survival analysis. In addition to their special cases, many statistical features were determined. The maximum likelihood method is used to estimate the model’s unknown parameters. Furthermore, the proposed distribution’s usefulness is demonstrated using two medical data sets dealing with COVID-19 patients’ mortality rates, as well as extensive simulated data applied to assess the performance of the estimators of the proposed distribution.

Suggested Citation

  • Ahlam H Tolba & Abdisalam Hassan Muse & Aisha Fayomi & Hanan M Baaqeel & Ehab M Almetwally, 2023. "The Gull Alpha Power Lomax distributions: Properties, simulation, and applications to modeling COVID-19 mortality rates," PLOS ONE, Public Library of Science, vol. 18(9), pages 1-25, September.
    • Handle: RePEc:plo:pone00:0283308
    DOI: 10.1371/journal.pone.0283308
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    References listed on IDEAS

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    1. Mahmoud Aldeni & Carl Lee & Felix Famoye, 2017. "Families of distributions arising from the quantile of generalized lambda distribution," Journal of Statistical Distributions and Applications, Springer, vol. 4(1), pages 1-18, December.
    2. Tahani A. Abushal & Jitendra Kumar & Abdisalam Hassan Muse & Ahlam H. Tolba & Junhai Ma, 2022. "Estimation for Akshaya Failure Model with Competing Risks under Progressive Censoring Scheme with Analyzing of Thymic Lymphoma of Mice Application," Complexity, Hindawi, vol. 2022, pages 1-27, June.
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