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On the Burr XII-moment exponential distribution

In this study, a new flexible lifetime model called Burr XII moment exponential (BXII-ME) distribution is introduced. We derive some of its mathematical properties including the ordinary moments, conditional moments, reliability measures and characterizations. We employ different estimation methods...

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Detalles Bibliográficos
Autores principales: Bhatti, Fiaz Ahmad, Hamedani, G. G., Korkmaz, Mustafa Ç., Sheng, Wenhui, Ali, Azeem
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7899380/
https://www.ncbi.nlm.nih.gov/pubmed/33617564
http://dx.doi.org/10.1371/journal.pone.0246935
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author Bhatti, Fiaz Ahmad
Hamedani, G. G.
Korkmaz, Mustafa Ç.
Sheng, Wenhui
Ali, Azeem
author_facet Bhatti, Fiaz Ahmad
Hamedani, G. G.
Korkmaz, Mustafa Ç.
Sheng, Wenhui
Ali, Azeem
author_sort Bhatti, Fiaz Ahmad
collection PubMed
description In this study, a new flexible lifetime model called Burr XII moment exponential (BXII-ME) distribution is introduced. We derive some of its mathematical properties including the ordinary moments, conditional moments, reliability measures and characterizations. We employ different estimation methods such as the maximum likelihood, maximum product spacings, least squares, weighted least squares, Cramer-von Mises and Anderson-Darling methods for estimating the model parameters. We perform simulation studies on the basis of the graphical results to see the performance of the above estimators of the BXII-ME distribution. We verify the potentiality of the BXII-ME model via monthly actual taxes revenue and fatigue life applications.
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spelling pubmed-78993802021-03-02 On the Burr XII-moment exponential distribution Bhatti, Fiaz Ahmad Hamedani, G. G. Korkmaz, Mustafa Ç. Sheng, Wenhui Ali, Azeem PLoS One Research Article In this study, a new flexible lifetime model called Burr XII moment exponential (BXII-ME) distribution is introduced. We derive some of its mathematical properties including the ordinary moments, conditional moments, reliability measures and characterizations. We employ different estimation methods such as the maximum likelihood, maximum product spacings, least squares, weighted least squares, Cramer-von Mises and Anderson-Darling methods for estimating the model parameters. We perform simulation studies on the basis of the graphical results to see the performance of the above estimators of the BXII-ME distribution. We verify the potentiality of the BXII-ME model via monthly actual taxes revenue and fatigue life applications. Public Library of Science 2021-02-22 /pmc/articles/PMC7899380/ /pubmed/33617564 http://dx.doi.org/10.1371/journal.pone.0246935 Text en © 2021 Bhatti et al http://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
spellingShingle Research Article
Bhatti, Fiaz Ahmad
Hamedani, G. G.
Korkmaz, Mustafa Ç.
Sheng, Wenhui
Ali, Azeem
On the Burr XII-moment exponential distribution
title On the Burr XII-moment exponential distribution
title_full On the Burr XII-moment exponential distribution
title_fullStr On the Burr XII-moment exponential distribution
title_full_unstemmed On the Burr XII-moment exponential distribution
title_short On the Burr XII-moment exponential distribution
title_sort on the burr xii-moment exponential distribution
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7899380/
https://www.ncbi.nlm.nih.gov/pubmed/33617564
http://dx.doi.org/10.1371/journal.pone.0246935
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