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 reliabilit...

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Main Authors: Ahlam H Tolba, Abdisalam Hassan Muse, Aisha Fayomi, Hanan M Baaqeel, Ehab M Almetwally
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2023-01-01
Series:PLoS ONE
Online Access:https://doi.org/10.1371/journal.pone.0283308
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author Ahlam H Tolba
Abdisalam Hassan Muse
Aisha Fayomi
Hanan M Baaqeel
Ehab M Almetwally
author_facet Ahlam H Tolba
Abdisalam Hassan Muse
Aisha Fayomi
Hanan M Baaqeel
Ehab M Almetwally
author_sort Ahlam H Tolba
collection DOAJ
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 doaj.art-7105130669c04532b020850a0c72d5b22023-09-13T05:31:42ZengPublic Library of Science (PLoS)PLoS ONE1932-62032023-01-01189e028330810.1371/journal.pone.0283308The Gull Alpha Power Lomax distributions: Properties, simulation, and applications to modeling COVID-19 mortality rates.Ahlam H TolbaAbdisalam Hassan MuseAisha FayomiHanan M BaaqeelEhab M AlmetwallyThe 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.https://doi.org/10.1371/journal.pone.0283308
spellingShingle Ahlam H Tolba
Abdisalam Hassan Muse
Aisha Fayomi
Hanan M Baaqeel
Ehab M Almetwally
The Gull Alpha Power Lomax distributions: Properties, simulation, and applications to modeling COVID-19 mortality rates.
PLoS ONE
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
url https://doi.org/10.1371/journal.pone.0283308
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