The Lindley Weibull Distribution: properties and applications

Detalhes bibliográficos
Autor(a) principal: CORDEIRO,GAUSS M.
Data de Publicação: 2018
Outros Autores: AFIFY,AHMED Z., YOUSOF,HAITHAM M., CAKMAKYAPAN,SELEN, OZEL,GAMZE
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Anais da Academia Brasileira de Ciências (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652018000602579
Resumo: Abstract We introduce a new three-parameter lifetime model called the Lindley Weibull distribution, which accommodates unimodal and bathtub, and a broad variety of monotone failure rates. We provide a comprehensive account of some of its mathematical properties including ordinary and incomplete moments, quantile and generating functions and order statistics. The new density function can be expressed as a linear combination of exponentiated Weibull densities. The maximum likelihood method is used to estimate the model parameters. We present simulation results to assess the performance of the maximum likelihood estimation. We prove empirically the importance and flexibility of the new distribution in modeling two data sets.
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spelling The Lindley Weibull Distribution: properties and applicationsLindley G-Familymaximum likelihoodmomentsorder statisticsAbstract We introduce a new three-parameter lifetime model called the Lindley Weibull distribution, which accommodates unimodal and bathtub, and a broad variety of monotone failure rates. We provide a comprehensive account of some of its mathematical properties including ordinary and incomplete moments, quantile and generating functions and order statistics. The new density function can be expressed as a linear combination of exponentiated Weibull densities. The maximum likelihood method is used to estimate the model parameters. We present simulation results to assess the performance of the maximum likelihood estimation. We prove empirically the importance and flexibility of the new distribution in modeling two data sets.Academia Brasileira de Ciências2018-09-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652018000602579Anais da Academia Brasileira de Ciências v.90 n.3 2018reponame:Anais da Academia Brasileira de Ciências (Online)instname:Academia Brasileira de Ciências (ABC)instacron:ABC10.1590/0001-3765201820170635info:eu-repo/semantics/openAccessCORDEIRO,GAUSS M.AFIFY,AHMED Z.YOUSOF,HAITHAM M.CAKMAKYAPAN,SELENOZEL,GAMZEeng2019-11-29T00:00:00Zoai:scielo:S0001-37652018000602579Revistahttp://www.scielo.br/aabchttps://old.scielo.br/oai/scielo-oai.php||aabc@abc.org.br1678-26900001-3765opendoar:2019-11-29T00:00Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)false
dc.title.none.fl_str_mv The Lindley Weibull Distribution: properties and applications
title The Lindley Weibull Distribution: properties and applications
spellingShingle The Lindley Weibull Distribution: properties and applications
CORDEIRO,GAUSS M.
Lindley G-Family
maximum likelihood
moments
order statistics
title_short The Lindley Weibull Distribution: properties and applications
title_full The Lindley Weibull Distribution: properties and applications
title_fullStr The Lindley Weibull Distribution: properties and applications
title_full_unstemmed The Lindley Weibull Distribution: properties and applications
title_sort The Lindley Weibull Distribution: properties and applications
author CORDEIRO,GAUSS M.
author_facet CORDEIRO,GAUSS M.
AFIFY,AHMED Z.
YOUSOF,HAITHAM M.
CAKMAKYAPAN,SELEN
OZEL,GAMZE
author_role author
author2 AFIFY,AHMED Z.
YOUSOF,HAITHAM M.
CAKMAKYAPAN,SELEN
OZEL,GAMZE
author2_role author
author
author
author
dc.contributor.author.fl_str_mv CORDEIRO,GAUSS M.
AFIFY,AHMED Z.
YOUSOF,HAITHAM M.
CAKMAKYAPAN,SELEN
OZEL,GAMZE
dc.subject.por.fl_str_mv Lindley G-Family
maximum likelihood
moments
order statistics
topic Lindley G-Family
maximum likelihood
moments
order statistics
description Abstract We introduce a new three-parameter lifetime model called the Lindley Weibull distribution, which accommodates unimodal and bathtub, and a broad variety of monotone failure rates. We provide a comprehensive account of some of its mathematical properties including ordinary and incomplete moments, quantile and generating functions and order statistics. The new density function can be expressed as a linear combination of exponentiated Weibull densities. The maximum likelihood method is used to estimate the model parameters. We present simulation results to assess the performance of the maximum likelihood estimation. We prove empirically the importance and flexibility of the new distribution in modeling two data sets.
publishDate 2018
dc.date.none.fl_str_mv 2018-09-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652018000602579
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652018000602579
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/0001-3765201820170635
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Academia Brasileira de Ciências
publisher.none.fl_str_mv Academia Brasileira de Ciências
dc.source.none.fl_str_mv Anais da Academia Brasileira de Ciências v.90 n.3 2018
reponame:Anais da Academia Brasileira de Ciências (Online)
instname:Academia Brasileira de Ciências (ABC)
instacron:ABC
instname_str Academia Brasileira de Ciências (ABC)
instacron_str ABC
institution ABC
reponame_str Anais da Academia Brasileira de Ciências (Online)
collection Anais da Academia Brasileira de Ciências (Online)
repository.name.fl_str_mv Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)
repository.mail.fl_str_mv ||aabc@abc.org.br
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