The extended generalized gamma geometric distribution

Detalhes bibliográficos
Autor(a) principal: Bortolini, Juliano
Data de Publicação: 2017
Outros Autores: Pascoa, Marcelino A. R., Lima, Renato Ribeiro de, Oliveira, Anderson C. S.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFLA
Texto Completo: http://repositorio.ufla.br/jspui/handle/1/36629
Resumo: We propose and study the so-called extended generalized gamma geometric distribution. The proposed distribution has five parameters and it can be accommodate increasing, decreasing, bathtub and unimodal shaped hazard functions. The new distribution has a large number of well-known lifetime special sub-models such as the generalized gamma geometric, Weibull geometric, gamma geometric, exponential geometric, Rayleigh geometric, half-normal geometric among others. We provide a mathematical treatment of the new distribution including explicit expressions for moments, moment generating function, mean deviations, reliability and order statistics. The method of maximum likelihood and a Bayesian procedure are adopted for estimating the model parameters. Finally, an application of the new distribution is illustrated in a real data sets.
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spelling The extended generalized gamma geometric distributionGeneralized gamma distributionWeibull geometric distributionLifetime distributionMaximum likelihood estimationBimodalityDistribuição gama generalizadaDistribuição geométrica WeibullDistribuição vitalíciaEstimativa de máxima verossimilhançaBimodalidadeWe propose and study the so-called extended generalized gamma geometric distribution. The proposed distribution has five parameters and it can be accommodate increasing, decreasing, bathtub and unimodal shaped hazard functions. The new distribution has a large number of well-known lifetime special sub-models such as the generalized gamma geometric, Weibull geometric, gamma geometric, exponential geometric, Rayleigh geometric, half-normal geometric among others. We provide a mathematical treatment of the new distribution including explicit expressions for moments, moment generating function, mean deviations, reliability and order statistics. The method of maximum likelihood and a Bayesian procedure are adopted for estimating the model parameters. Finally, an application of the new distribution is illustrated in a real data sets.Canadian Center of Science and Education2019-09-05T17:44:31Z2019-09-05T17:44:31Z2017-07info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfBORTOLINI, J. et al. The extended generalized gamma geometric distribution. International Journal of Statistics and Probability, [S. l.], v. 6, n. 4, p. 48-69, July 2017.http://repositorio.ufla.br/jspui/handle/1/36629International Journal of Statistics and Probabilityreponame:Repositório Institucional da UFLAinstname:Universidade Federal de Lavras (UFLA)instacron:UFLAAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessBortolini, JulianoPascoa, Marcelino A. R.Lima, Renato Ribeiro deOliveira, Anderson C. S.eng2019-09-05T17:44:32Zoai:localhost:1/36629Repositório InstitucionalPUBhttp://repositorio.ufla.br/oai/requestnivaldo@ufla.br || repositorio.biblioteca@ufla.bropendoar:2019-09-05T17:44:32Repositório Institucional da UFLA - Universidade Federal de Lavras (UFLA)false
dc.title.none.fl_str_mv The extended generalized gamma geometric distribution
title The extended generalized gamma geometric distribution
spellingShingle The extended generalized gamma geometric distribution
Bortolini, Juliano
Generalized gamma distribution
Weibull geometric distribution
Lifetime distribution
Maximum likelihood estimation
Bimodality
Distribuição gama generalizada
Distribuição geométrica Weibull
Distribuição vitalícia
Estimativa de máxima verossimilhança
Bimodalidade
title_short The extended generalized gamma geometric distribution
title_full The extended generalized gamma geometric distribution
title_fullStr The extended generalized gamma geometric distribution
title_full_unstemmed The extended generalized gamma geometric distribution
title_sort The extended generalized gamma geometric distribution
author Bortolini, Juliano
author_facet Bortolini, Juliano
Pascoa, Marcelino A. R.
Lima, Renato Ribeiro de
Oliveira, Anderson C. S.
author_role author
author2 Pascoa, Marcelino A. R.
Lima, Renato Ribeiro de
Oliveira, Anderson C. S.
author2_role author
author
author
dc.contributor.author.fl_str_mv Bortolini, Juliano
Pascoa, Marcelino A. R.
Lima, Renato Ribeiro de
Oliveira, Anderson C. S.
dc.subject.por.fl_str_mv Generalized gamma distribution
Weibull geometric distribution
Lifetime distribution
Maximum likelihood estimation
Bimodality
Distribuição gama generalizada
Distribuição geométrica Weibull
Distribuição vitalícia
Estimativa de máxima verossimilhança
Bimodalidade
topic Generalized gamma distribution
Weibull geometric distribution
Lifetime distribution
Maximum likelihood estimation
Bimodality
Distribuição gama generalizada
Distribuição geométrica Weibull
Distribuição vitalícia
Estimativa de máxima verossimilhança
Bimodalidade
description We propose and study the so-called extended generalized gamma geometric distribution. The proposed distribution has five parameters and it can be accommodate increasing, decreasing, bathtub and unimodal shaped hazard functions. The new distribution has a large number of well-known lifetime special sub-models such as the generalized gamma geometric, Weibull geometric, gamma geometric, exponential geometric, Rayleigh geometric, half-normal geometric among others. We provide a mathematical treatment of the new distribution including explicit expressions for moments, moment generating function, mean deviations, reliability and order statistics. The method of maximum likelihood and a Bayesian procedure are adopted for estimating the model parameters. Finally, an application of the new distribution is illustrated in a real data sets.
publishDate 2017
dc.date.none.fl_str_mv 2017-07
2019-09-05T17:44:31Z
2019-09-05T17:44:31Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv BORTOLINI, J. et al. The extended generalized gamma geometric distribution. International Journal of Statistics and Probability, [S. l.], v. 6, n. 4, p. 48-69, July 2017.
http://repositorio.ufla.br/jspui/handle/1/36629
identifier_str_mv BORTOLINI, J. et al. The extended generalized gamma geometric distribution. International Journal of Statistics and Probability, [S. l.], v. 6, n. 4, p. 48-69, July 2017.
url http://repositorio.ufla.br/jspui/handle/1/36629
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Canadian Center of Science and Education
publisher.none.fl_str_mv Canadian Center of Science and Education
dc.source.none.fl_str_mv International Journal of Statistics and Probability
reponame:Repositório Institucional da UFLA
instname:Universidade Federal de Lavras (UFLA)
instacron:UFLA
instname_str Universidade Federal de Lavras (UFLA)
instacron_str UFLA
institution UFLA
reponame_str Repositório Institucional da UFLA
collection Repositório Institucional da UFLA
repository.name.fl_str_mv Repositório Institucional da UFLA - Universidade Federal de Lavras (UFLA)
repository.mail.fl_str_mv nivaldo@ufla.br || repositorio.biblioteca@ufla.br
_version_ 1815439022333362176

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