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The Gull Alpha Power Lomax distributions: Properties, simulation, and applications to modeling COVID-19 mortality
Ahlam H Tolba1, Abdisalam Hassan Muse2, Aisha Fayomi3
1Mathematics Department, Faculty of Science, Mansoura University, Mansoura, Egypt.
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.
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