The Weibull-Gamma Distribution: Properties and Applications

A new member of the Weibull-generated (Weibull-G) family of distributions—namely the Weibull-gamma distribution—is proposed. This four-parameter distribution can provide great flexibility in modeling different data distribution shapes. Some special cases of the Weibull-gamma distribution are conside...

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Autor principal: Klakattawi, Hadeel S.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2019
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7514927/
https://www.ncbi.nlm.nih.gov/pubmed/33267152
http://dx.doi.org/10.3390/e21050438
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author Klakattawi, Hadeel S.
author_facet Klakattawi, Hadeel S.
author_sort Klakattawi, Hadeel S.
collection PubMed
description A new member of the Weibull-generated (Weibull-G) family of distributions—namely the Weibull-gamma distribution—is proposed. This four-parameter distribution can provide great flexibility in modeling different data distribution shapes. Some special cases of the Weibull-gamma distribution are considered. Several properties of the new distribution are studied. The maximum likelihood method is applied to obtain an estimation of the parameters of the Weibull-gamma distribution. The usefulness of the proposed distribution is examined by means of five applications to real datasets.
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spelling pubmed-75149272020-11-09 The Weibull-Gamma Distribution: Properties and Applications Klakattawi, Hadeel S. Entropy (Basel) Article A new member of the Weibull-generated (Weibull-G) family of distributions—namely the Weibull-gamma distribution—is proposed. This four-parameter distribution can provide great flexibility in modeling different data distribution shapes. Some special cases of the Weibull-gamma distribution are considered. Several properties of the new distribution are studied. The maximum likelihood method is applied to obtain an estimation of the parameters of the Weibull-gamma distribution. The usefulness of the proposed distribution is examined by means of five applications to real datasets. MDPI 2019-04-26 /pmc/articles/PMC7514927/ /pubmed/33267152 http://dx.doi.org/10.3390/e21050438 Text en © 2019 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Klakattawi, Hadeel S.
The Weibull-Gamma Distribution: Properties and Applications
title The Weibull-Gamma Distribution: Properties and Applications
title_full The Weibull-Gamma Distribution: Properties and Applications
title_fullStr The Weibull-Gamma Distribution: Properties and Applications
title_full_unstemmed The Weibull-Gamma Distribution: Properties and Applications
title_short The Weibull-Gamma Distribution: Properties and Applications
title_sort weibull-gamma distribution: properties and applications
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7514927/
https://www.ncbi.nlm.nih.gov/pubmed/33267152
http://dx.doi.org/10.3390/e21050438
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