The Transmuted Marshall-Olkin Extended Lomax Distribution

Detalhes bibliográficos
Autor(a) principal: SILVA,RENILMA P. DA
Data de Publicação: 2020
Outros Autores: CYSNEIROS,AUDREY HELEN M.A., CORDEIRO,GAUSS M., TABLADA,CLAUDIO JAVIER
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=S0001-37652020000500301
Resumo: Abstract The transmuted family of distributions has been receiving increased attention over the last few years. In this paper, we generalize the Marshall-Olkin extended Lomax distribution using the quadratic rank transmutation map to obtain the transmuted Marshall-Olkin extended Lomax distribution. Several properties of the new distribution are discussed including the hazard rate function, ordinary and incomplete moments, characteristic function and order statistics. We provide an estimation procedure by the maximum likelihood method and a simulation study to assess the performance of the new distribution. We prove empirically the flexibility of the new model by means of an application to a real data set. It is superior to other three and four parameter lifetime distributions.
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spelling The Transmuted Marshall-Olkin Extended Lomax Distributiongeneralized distributionlifetime analysisLomax distributionMarshall-Olkin extendedtransmuted familyAbstract The transmuted family of distributions has been receiving increased attention over the last few years. In this paper, we generalize the Marshall-Olkin extended Lomax distribution using the quadratic rank transmutation map to obtain the transmuted Marshall-Olkin extended Lomax distribution. Several properties of the new distribution are discussed including the hazard rate function, ordinary and incomplete moments, characteristic function and order statistics. We provide an estimation procedure by the maximum likelihood method and a simulation study to assess the performance of the new distribution. We prove empirically the flexibility of the new model by means of an application to a real data set. It is superior to other three and four parameter lifetime distributions.Academia Brasileira de Ciências2020-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652020000500301Anais da Academia Brasileira de Ciências v.92 n.3 2020reponame:Anais da Academia Brasileira de Ciências (Online)instname:Academia Brasileira de Ciências (ABC)instacron:ABC10.1590/0001-3765202020180777info:eu-repo/semantics/openAccessSILVA,RENILMA P. DACYSNEIROS,AUDREY HELEN M.A.CORDEIRO,GAUSS M.TABLADA,CLAUDIO JAVIEReng2020-10-20T00:00:00Zoai:scielo:S0001-37652020000500301Revistahttp://www.scielo.br/aabchttps://old.scielo.br/oai/scielo-oai.php||aabc@abc.org.br1678-26900001-3765opendoar:2020-10-20T00:00Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)false
dc.title.none.fl_str_mv The Transmuted Marshall-Olkin Extended Lomax Distribution
title The Transmuted Marshall-Olkin Extended Lomax Distribution
spellingShingle The Transmuted Marshall-Olkin Extended Lomax Distribution
SILVA,RENILMA P. DA
generalized distribution
lifetime analysis
Lomax distribution
Marshall-Olkin extended
transmuted family
title_short The Transmuted Marshall-Olkin Extended Lomax Distribution
title_full The Transmuted Marshall-Olkin Extended Lomax Distribution
title_fullStr The Transmuted Marshall-Olkin Extended Lomax Distribution
title_full_unstemmed The Transmuted Marshall-Olkin Extended Lomax Distribution
title_sort The Transmuted Marshall-Olkin Extended Lomax Distribution
author SILVA,RENILMA P. DA
author_facet SILVA,RENILMA P. DA
CYSNEIROS,AUDREY HELEN M.A.
CORDEIRO,GAUSS M.
TABLADA,CLAUDIO JAVIER
author_role author
author2 CYSNEIROS,AUDREY HELEN M.A.
CORDEIRO,GAUSS M.
TABLADA,CLAUDIO JAVIER
author2_role author
author
author
dc.contributor.author.fl_str_mv SILVA,RENILMA P. DA
CYSNEIROS,AUDREY HELEN M.A.
CORDEIRO,GAUSS M.
TABLADA,CLAUDIO JAVIER
dc.subject.por.fl_str_mv generalized distribution
lifetime analysis
Lomax distribution
Marshall-Olkin extended
transmuted family
topic generalized distribution
lifetime analysis
Lomax distribution
Marshall-Olkin extended
transmuted family
description Abstract The transmuted family of distributions has been receiving increased attention over the last few years. In this paper, we generalize the Marshall-Olkin extended Lomax distribution using the quadratic rank transmutation map to obtain the transmuted Marshall-Olkin extended Lomax distribution. Several properties of the new distribution are discussed including the hazard rate function, ordinary and incomplete moments, characteristic function and order statistics. We provide an estimation procedure by the maximum likelihood method and a simulation study to assess the performance of the new distribution. We prove empirically the flexibility of the new model by means of an application to a real data set. It is superior to other three and four parameter lifetime distributions.
publishDate 2020
dc.date.none.fl_str_mv 2020-01-01
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=S0001-37652020000500301
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652020000500301
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/0001-3765202020180777
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.92 n.3 2020
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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