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...
Main Authors: | , , , , |
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Format: | Article |
Language: | English |
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Public Library of Science (PLoS)
2023-01-01
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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. |
first_indexed | 2024-03-12T01:20:31Z |
format | Article |
id | doaj.art-7105130669c04532b020850a0c72d5b2 |
institution | Directory Open Access Journal |
issn | 1932-6203 |
language | English |
last_indexed | 2024-03-12T01:20:31Z |
publishDate | 2023-01-01 |
publisher | Public Library of Science (PLoS) |
record_format | Article |
series | PLoS ONE |
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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