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

Autor: Tolba AH; Mathematics Department, Faculty of Science, Mansoura University, Mansoura, Egypt., Muse AH; Faculty of Science and Humanities, School of Postgraduate Studies and Research, Amoud University, Borama, Somalia., Fayomi A; Faculty of Science Department of Statistics King Abdulaziz University, Jeddah, Saudi Arabia., Baaqeel HM; Faculty of Science Department of Statistics King Abdulaziz University, Jeddah, Saudi Arabia., Almetwally EM; Department of Statistics, Faculty of Business Administration, Delta University for Science and Technology, Gamasa, Egypt.
Jazyk: angličtina
Zdroj: PloS one [PLoS One] 2023 Sep 07; Vol. 18 (9), pp. e0283308. Date of Electronic Publication: 2023 Sep 07 (Print Publication: 2023).
DOI: 10.1371/journal.pone.0283308
Abstrakt: 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.
Competing Interests: The authors have declared that no competing interests exist.
(Copyright: © 2023 Tolba et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.)
Databáze: MEDLINE
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