Type II exponentiated half-logistic Topp-Leone Marshall-Olkin-G family of distributions with applications

The aim of this paper is to generalize and study a new family of lifetime distributions in order to gain flexibility. The new generalized distribution is named as type II exponentiated half-logistic Topp-Leone-Marshall-Olkin-G (TIIEHL-TL-MO-G) family of distributions. Several mathematical properties...

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Autores principales: Moakofi, Thatayaone, Oluyede, Broderick, Chipepa, Fastel
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2021
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8715307/
https://www.ncbi.nlm.nih.gov/pubmed/35005267
http://dx.doi.org/10.1016/j.heliyon.2021.e08590
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author Moakofi, Thatayaone
Oluyede, Broderick
Chipepa, Fastel
author_facet Moakofi, Thatayaone
Oluyede, Broderick
Chipepa, Fastel
author_sort Moakofi, Thatayaone
collection PubMed
description The aim of this paper is to generalize and study a new family of lifetime distributions in order to gain flexibility. The new generalized distribution is named as type II exponentiated half-logistic Topp-Leone-Marshall-Olkin-G (TIIEHL-TL-MO-G) family of distributions. Several mathematical properties of the new model have been derived including, moments and generating function, distribution of the order statistics and Rényi entropy. The performance of the maximum likelihood estimates is evaluated via a simulation study. Lastly, we apply the generated family to three real data to illustrate the potentiality of this new generalized family of distributions.
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spelling pubmed-87153072022-01-06 Type II exponentiated half-logistic Topp-Leone Marshall-Olkin-G family of distributions with applications Moakofi, Thatayaone Oluyede, Broderick Chipepa, Fastel Heliyon Research Article The aim of this paper is to generalize and study a new family of lifetime distributions in order to gain flexibility. The new generalized distribution is named as type II exponentiated half-logistic Topp-Leone-Marshall-Olkin-G (TIIEHL-TL-MO-G) family of distributions. Several mathematical properties of the new model have been derived including, moments and generating function, distribution of the order statistics and Rényi entropy. The performance of the maximum likelihood estimates is evaluated via a simulation study. Lastly, we apply the generated family to three real data to illustrate the potentiality of this new generalized family of distributions. Elsevier 2021-12-22 /pmc/articles/PMC8715307/ /pubmed/35005267 http://dx.doi.org/10.1016/j.heliyon.2021.e08590 Text en © 2021 Published by Elsevier Ltd. https://creativecommons.org/licenses/by-nc-nd/4.0/This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
spellingShingle Research Article
Moakofi, Thatayaone
Oluyede, Broderick
Chipepa, Fastel
Type II exponentiated half-logistic Topp-Leone Marshall-Olkin-G family of distributions with applications
title Type II exponentiated half-logistic Topp-Leone Marshall-Olkin-G family of distributions with applications
title_full Type II exponentiated half-logistic Topp-Leone Marshall-Olkin-G family of distributions with applications
title_fullStr Type II exponentiated half-logistic Topp-Leone Marshall-Olkin-G family of distributions with applications
title_full_unstemmed Type II exponentiated half-logistic Topp-Leone Marshall-Olkin-G family of distributions with applications
title_short Type II exponentiated half-logistic Topp-Leone Marshall-Olkin-G family of distributions with applications
title_sort type ii exponentiated half-logistic topp-leone marshall-olkin-g family of distributions with applications
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8715307/
https://www.ncbi.nlm.nih.gov/pubmed/35005267
http://dx.doi.org/10.1016/j.heliyon.2021.e08590
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AT oluyedebroderick typeiiexponentiatedhalflogistictoppleonemarshallolkingfamilyofdistributionswithapplications
AT chipepafastel typeiiexponentiatedhalflogistictoppleonemarshallolkingfamilyofdistributionswithapplications

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