A new model for describing remission times: the generalized beta-generated Lindley distribution

Detalhes bibliográficos
Autor(a) principal: LIMA,MARIA DO CARMO S.
Data de Publicação: 2017
Outros Autores: CORDEIRO,GAUSS M., NASCIMENTO,ABRAÃO D.C., SILVA,KÁSSIO F.
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=S0001-37652017000401343
Resumo: New generators are required to define wider distributions for modeling real data in survival analysis. To that end we introduce the four-parameter generalized beta-generated Lindley distribution. It has explicit expressions for the ordinary and incomplete moments, mean deviations, generating and quantile functions. We propose a maximum likelihood procedure to estimate the model parameters, which is assessed through a Monte Carlo simulation study. We also derive an additional estimation scheme by means of least square between percentiles. The usefulness of the proposed distribution to describe remission times of cancer patients is illustrated by means of an application to real data.
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spelling A new model for describing remission times: the generalized beta-generated Lindley distributionGBG generatorremission timesExtended Lindley modelquantile functionLambert functionNew generators are required to define wider distributions for modeling real data in survival analysis. To that end we introduce the four-parameter generalized beta-generated Lindley distribution. It has explicit expressions for the ordinary and incomplete moments, mean deviations, generating and quantile functions. We propose a maximum likelihood procedure to estimate the model parameters, which is assessed through a Monte Carlo simulation study. We also derive an additional estimation scheme by means of least square between percentiles. The usefulness of the proposed distribution to describe remission times of cancer patients is illustrated by means of an application to real data.Academia Brasileira de Ciências2017-09-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652017000401343Anais da Academia Brasileira de Ciências v.89 n.3 2017reponame:Anais da Academia Brasileira de Ciências (Online)instname:Academia Brasileira de Ciências (ABC)instacron:ABC10.1590/0001-3765201720160455info:eu-repo/semantics/openAccessLIMA,MARIA DO CARMO S.CORDEIRO,GAUSS M.NASCIMENTO,ABRAÃO D.C.SILVA,KÁSSIO F.eng2019-11-29T00:00:00Zoai:scielo:S0001-37652017000401343Revistahttp://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 A new model for describing remission times: the generalized beta-generated Lindley distribution
title A new model for describing remission times: the generalized beta-generated Lindley distribution
spellingShingle A new model for describing remission times: the generalized beta-generated Lindley distribution
LIMA,MARIA DO CARMO S.
GBG generator
remission times
Extended Lindley model
quantile function
Lambert function
title_short A new model for describing remission times: the generalized beta-generated Lindley distribution
title_full A new model for describing remission times: the generalized beta-generated Lindley distribution
title_fullStr A new model for describing remission times: the generalized beta-generated Lindley distribution
title_full_unstemmed A new model for describing remission times: the generalized beta-generated Lindley distribution
title_sort A new model for describing remission times: the generalized beta-generated Lindley distribution
author LIMA,MARIA DO CARMO S.
author_facet LIMA,MARIA DO CARMO S.
CORDEIRO,GAUSS M.
NASCIMENTO,ABRAÃO D.C.
SILVA,KÁSSIO F.
author_role author
author2 CORDEIRO,GAUSS M.
NASCIMENTO,ABRAÃO D.C.
SILVA,KÁSSIO F.
author2_role author
author
author
dc.contributor.author.fl_str_mv LIMA,MARIA DO CARMO S.
CORDEIRO,GAUSS M.
NASCIMENTO,ABRAÃO D.C.
SILVA,KÁSSIO F.
dc.subject.por.fl_str_mv GBG generator
remission times
Extended Lindley model
quantile function
Lambert function
topic GBG generator
remission times
Extended Lindley model
quantile function
Lambert function
description New generators are required to define wider distributions for modeling real data in survival analysis. To that end we introduce the four-parameter generalized beta-generated Lindley distribution. It has explicit expressions for the ordinary and incomplete moments, mean deviations, generating and quantile functions. We propose a maximum likelihood procedure to estimate the model parameters, which is assessed through a Monte Carlo simulation study. We also derive an additional estimation scheme by means of least square between percentiles. The usefulness of the proposed distribution to describe remission times of cancer patients is illustrated by means of an application to real data.
publishDate 2017
dc.date.none.fl_str_mv 2017-09-01
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=S0001-37652017000401343
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652017000401343
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/0001-3765201720160455
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.89 n.3 2017
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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