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On a new generalized lindley distribution: Properties, estimation and applications
In this study, an extension of the generalized Lindley distribution using the Marshall-Olkin method and its own sub-models is presented. This new model for modelling survival and lifetime data is flexible. Several statistical properties and characterizations of the subject distribution along with it...
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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Public Library of Science
2021
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Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7904203/ https://www.ncbi.nlm.nih.gov/pubmed/33626075 http://dx.doi.org/10.1371/journal.pone.0244328 |
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author | Algarni, Ali |
author_facet | Algarni, Ali |
author_sort | Algarni, Ali |
collection | PubMed |
description | In this study, an extension of the generalized Lindley distribution using the Marshall-Olkin method and its own sub-models is presented. This new model for modelling survival and lifetime data is flexible. Several statistical properties and characterizations of the subject distribution along with its reliability analysis are presented. Statistical inference for the new family such as the Maximum likelihood estimators and the asymptotic variance covariance matrix of the unknown parameters are discussed. A simulation study is considered to compare the efficiency of the different estimators based on mean square error criterion. Finally, a real data set is analyzed to show the flexibility of our proposed model compared with the fit attained by some other competitive distributions. |
format | Online Article Text |
id | pubmed-7904203 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | Public Library of Science |
record_format | MEDLINE/PubMed |
spelling | pubmed-79042032021-03-03 On a new generalized lindley distribution: Properties, estimation and applications Algarni, Ali PLoS One Research Article In this study, an extension of the generalized Lindley distribution using the Marshall-Olkin method and its own sub-models is presented. This new model for modelling survival and lifetime data is flexible. Several statistical properties and characterizations of the subject distribution along with its reliability analysis are presented. Statistical inference for the new family such as the Maximum likelihood estimators and the asymptotic variance covariance matrix of the unknown parameters are discussed. A simulation study is considered to compare the efficiency of the different estimators based on mean square error criterion. Finally, a real data set is analyzed to show the flexibility of our proposed model compared with the fit attained by some other competitive distributions. Public Library of Science 2021-02-24 /pmc/articles/PMC7904203/ /pubmed/33626075 http://dx.doi.org/10.1371/journal.pone.0244328 Text en © 2021 Ali Algarni 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 Algarni, Ali On a new generalized lindley distribution: Properties, estimation and applications |
title | On a new generalized lindley distribution: Properties, estimation and applications |
title_full | On a new generalized lindley distribution: Properties, estimation and applications |
title_fullStr | On a new generalized lindley distribution: Properties, estimation and applications |
title_full_unstemmed | On a new generalized lindley distribution: Properties, estimation and applications |
title_short | On a new generalized lindley distribution: Properties, estimation and applications |
title_sort | on a new generalized lindley distribution: properties, estimation and applications |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7904203/ https://www.ncbi.nlm.nih.gov/pubmed/33626075 http://dx.doi.org/10.1371/journal.pone.0244328 |
work_keys_str_mv | AT algarniali onanewgeneralizedlindleydistributionpropertiesestimationandapplications |