Further results involving Marshall–Olkin log-logistic distribution: reliability analysis, estimation of the parameter, and applications

The purpose of this paper is to provide further study of the Marshall–Olkin log-logistic model that was first described by Gui (Appl Math Sci 7:3947–3961, 2013). This model is both useful and practical in areas such as reliability and life testing. Some statistical and reliability properties of this...

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Detalles Bibliográficos
Autores principales: Alshangiti, Arwa M., Kayid, M., Alarfaj, B.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4814396/
https://www.ncbi.nlm.nih.gov/pubmed/27066390
http://dx.doi.org/10.1186/s40064-016-2007-x
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author Alshangiti, Arwa M.
Kayid, M.
Alarfaj, B.
author_facet Alshangiti, Arwa M.
Kayid, M.
Alarfaj, B.
author_sort Alshangiti, Arwa M.
collection PubMed
description The purpose of this paper is to provide further study of the Marshall–Olkin log-logistic model that was first described by Gui (Appl Math Sci 7:3947–3961, 2013). This model is both useful and practical in areas such as reliability and life testing. Some statistical and reliability properties of this model are presented including moments, reversed hazard rate and mean residual life functions, among others. Maximum likelihood estimation of the parameters of the model is discussed. Finally, a real data set is analyzed and it is observed that the presented model provides a better fit than the log-logistic model. ELECTRONIC SUPPLEMENTARY MATERIAL: The online version of this article (doi:10.1186/s40064-016-2007-x) contains supplementary material, which is available to authorized users.
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spelling pubmed-48143962016-04-10 Further results involving Marshall–Olkin log-logistic distribution: reliability analysis, estimation of the parameter, and applications Alshangiti, Arwa M. Kayid, M. Alarfaj, B. Springerplus Research The purpose of this paper is to provide further study of the Marshall–Olkin log-logistic model that was first described by Gui (Appl Math Sci 7:3947–3961, 2013). This model is both useful and practical in areas such as reliability and life testing. Some statistical and reliability properties of this model are presented including moments, reversed hazard rate and mean residual life functions, among others. Maximum likelihood estimation of the parameters of the model is discussed. Finally, a real data set is analyzed and it is observed that the presented model provides a better fit than the log-logistic model. ELECTRONIC SUPPLEMENTARY MATERIAL: The online version of this article (doi:10.1186/s40064-016-2007-x) contains supplementary material, which is available to authorized users. Springer International Publishing 2016-03-31 /pmc/articles/PMC4814396/ /pubmed/27066390 http://dx.doi.org/10.1186/s40064-016-2007-x Text en © Alshangiti et al. 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Alshangiti, Arwa M.
Kayid, M.
Alarfaj, B.
Further results involving Marshall–Olkin log-logistic distribution: reliability analysis, estimation of the parameter, and applications
title Further results involving Marshall–Olkin log-logistic distribution: reliability analysis, estimation of the parameter, and applications
title_full Further results involving Marshall–Olkin log-logistic distribution: reliability analysis, estimation of the parameter, and applications
title_fullStr Further results involving Marshall–Olkin log-logistic distribution: reliability analysis, estimation of the parameter, and applications
title_full_unstemmed Further results involving Marshall–Olkin log-logistic distribution: reliability analysis, estimation of the parameter, and applications
title_short Further results involving Marshall–Olkin log-logistic distribution: reliability analysis, estimation of the parameter, and applications
title_sort further results involving marshall–olkin log-logistic distribution: reliability analysis, estimation of the parameter, and applications
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4814396/
https://www.ncbi.nlm.nih.gov/pubmed/27066390
http://dx.doi.org/10.1186/s40064-016-2007-x
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