Truncated Weibull–exponential distribution: methods and applications

This paper introduces a truncated Weibull-exponential distribution and provides a thorough insight into its mathematical characteristics. These characteristics include moments, generating functions, inverse distribution function, and entropy. Various measures are also discussed about the distributio...

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Autores principales: Abbas, Salman, Farooq, Muhammad, Darwish, Jumanah Ahmed, Shahbaz, Saman Hanif, Shahbaz, Muhammad Qaiser
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10682399/
https://www.ncbi.nlm.nih.gov/pubmed/38012379
http://dx.doi.org/10.1038/s41598-023-48288-x
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author Abbas, Salman
Farooq, Muhammad
Darwish, Jumanah Ahmed
Shahbaz, Saman Hanif
Shahbaz, Muhammad Qaiser
author_facet Abbas, Salman
Farooq, Muhammad
Darwish, Jumanah Ahmed
Shahbaz, Saman Hanif
Shahbaz, Muhammad Qaiser
author_sort Abbas, Salman
collection PubMed
description This paper introduces a truncated Weibull-exponential distribution and provides a thorough insight into its mathematical characteristics. These characteristics include moments, generating functions, inverse distribution function, and entropy. Various measures are also discussed about the distribution's reliability. A simulation study is carried out to assess the stability and consistency of the maximum likelihood estimates of the parameters. Finally, two social sciences data sets are used to assess the distribution's relevance in modeling real-world situations.
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spelling pubmed-106823992023-11-30 Truncated Weibull–exponential distribution: methods and applications Abbas, Salman Farooq, Muhammad Darwish, Jumanah Ahmed Shahbaz, Saman Hanif Shahbaz, Muhammad Qaiser Sci Rep Article This paper introduces a truncated Weibull-exponential distribution and provides a thorough insight into its mathematical characteristics. These characteristics include moments, generating functions, inverse distribution function, and entropy. Various measures are also discussed about the distribution's reliability. A simulation study is carried out to assess the stability and consistency of the maximum likelihood estimates of the parameters. Finally, two social sciences data sets are used to assess the distribution's relevance in modeling real-world situations. Nature Publishing Group UK 2023-11-27 /pmc/articles/PMC10682399/ /pubmed/38012379 http://dx.doi.org/10.1038/s41598-023-48288-x Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Abbas, Salman
Farooq, Muhammad
Darwish, Jumanah Ahmed
Shahbaz, Saman Hanif
Shahbaz, Muhammad Qaiser
Truncated Weibull–exponential distribution: methods and applications
title Truncated Weibull–exponential distribution: methods and applications
title_full Truncated Weibull–exponential distribution: methods and applications
title_fullStr Truncated Weibull–exponential distribution: methods and applications
title_full_unstemmed Truncated Weibull–exponential distribution: methods and applications
title_short Truncated Weibull–exponential distribution: methods and applications
title_sort truncated weibull–exponential distribution: methods and applications
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10682399/
https://www.ncbi.nlm.nih.gov/pubmed/38012379
http://dx.doi.org/10.1038/s41598-023-48288-x
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