Cargando…

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...

Descripción completa

Detalles Bibliográficos
Autor principal: Algarni, Ali
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2021
Materias:
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
_version_ 1783654882968862720
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