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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...
Autores principales: | , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Public Library of Science
2021
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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. |
format | Online Article Text |
id | pubmed-7899380 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | Public Library of Science |
record_format | MEDLINE/PubMed |
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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