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

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 eng...

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Autores principales: Tolba, Ahlam H., Muse, Abdisalam Hassan, Fayomi, Aisha, Baaqeel, Hanan M., Almetwally, Ehab M.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2023
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10484464/
https://www.ncbi.nlm.nih.gov/pubmed/37676891
http://dx.doi.org/10.1371/journal.pone.0283308
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author Tolba, Ahlam H.
Muse, Abdisalam Hassan
Fayomi, Aisha
Baaqeel, Hanan M.
Almetwally, Ehab M.
author_facet Tolba, Ahlam H.
Muse, Abdisalam Hassan
Fayomi, Aisha
Baaqeel, Hanan M.
Almetwally, Ehab M.
author_sort Tolba, Ahlam H.
collection PubMed
description 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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spelling pubmed-104844642023-09-08 The Gull Alpha Power Lomax distributions: Properties, simulation, and applications to modeling COVID-19 mortality rates Tolba, Ahlam H. Muse, Abdisalam Hassan Fayomi, Aisha Baaqeel, Hanan M. Almetwally, Ehab M. PLoS One Research Article 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. Public Library of Science 2023-09-07 /pmc/articles/PMC10484464/ /pubmed/37676891 http://dx.doi.org/10.1371/journal.pone.0283308 Text en © 2023 Tolba et al https://creativecommons.org/licenses/by/4.0/This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
spellingShingle Research Article
Tolba, Ahlam H.
Muse, Abdisalam Hassan
Fayomi, Aisha
Baaqeel, Hanan M.
Almetwally, Ehab M.
The Gull Alpha Power Lomax distributions: Properties, simulation, and applications to modeling COVID-19 mortality rates
title The Gull Alpha Power Lomax distributions: Properties, simulation, and applications to modeling COVID-19 mortality rates
title_full The Gull Alpha Power Lomax distributions: Properties, simulation, and applications to modeling COVID-19 mortality rates
title_fullStr The Gull Alpha Power Lomax distributions: Properties, simulation, and applications to modeling COVID-19 mortality rates
title_full_unstemmed The Gull Alpha Power Lomax distributions: Properties, simulation, and applications to modeling COVID-19 mortality rates
title_short The Gull Alpha Power Lomax distributions: Properties, simulation, and applications to modeling COVID-19 mortality rates
title_sort gull alpha power lomax distributions: properties, simulation, and applications to modeling covid-19 mortality rates
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10484464/
https://www.ncbi.nlm.nih.gov/pubmed/37676891
http://dx.doi.org/10.1371/journal.pone.0283308
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