The gamma extended Weibull family of distributions

Detalhes bibliográficos
Autor(a) principal: Nascimento, Abraão D. C.
Data de Publicação: 2014
Outros Autores: Bourguignon, Marcelo, Zea, Luz M., Santos-Neto, Manoel, Silva, Rodrigo B., Cordeiro, Gauss M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRN
Texto Completo: https://repositorio.ufrn.br/handle/123456789/49658
Resumo: We introduce a new family of distributions called the gamma extended Weibull family. The proposed family includes several well-known models as special cases and defines at least seventeen new special models. Structural properties of this family are studied. Additionally, the maximum likelihood method for estimating the model parameters is discussed. An application to real data illustrates the usefulness of the new family. The results provide evidence that the proposed family outperforms other classes of lifetime models.
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spelling Nascimento, Abraão D. C.Bourguignon, MarceloZea, Luz M.Santos-Neto, ManoelSilva, Rodrigo B.Cordeiro, Gauss M.2022-10-31T21:34:10Z2022-10-31T21:34:10Z2014-03NASCIMENTO, Abraão D.C.et al. The gamma extended Weibull family of distributions. Journal of Statistical Theory and Applications, v. 13, p. 1, 2014. Disponível em: https://www.atlantis-press.com/journals/jsta/11607. Acesso em: 07 dez. 20171538-7887https://repositorio.ufrn.br/handle/123456789/49658Journal of Statistical Theory and ApplicationsExtended Weibull distributionsHazard rate functionMaximum likelihood estimationMomentsStacy’s generalized gamma distributionThe gamma extended Weibull family of distributionsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleWe introduce a new family of distributions called the gamma extended Weibull family. The proposed family includes several well-known models as special cases and defines at least seventeen new special models. Structural properties of this family are studied. Additionally, the maximum likelihood method for estimating the model parameters is discussed. An application to real data illustrates the usefulness of the new family. The results provide evidence that the proposed family outperforms other classes of lifetime models.info:eu-repo/semantics/openAccessengreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNLICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://repositorio.ufrn.br/bitstream/123456789/49658/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52ORIGINALTheGammaExtended_2014.pdfTheGammaExtended_2014.pdfapplication/pdf1918767https://repositorio.ufrn.br/bitstream/123456789/49658/1/TheGammaExtended_2014.pdfadb3ff98913929b3e6e94269de6f7357MD51123456789/496582022-10-31 18:34:12.452oai:https://repositorio.ufrn.br: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Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2022-10-31T21:34:12Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false
dc.title.pt_BR.fl_str_mv The gamma extended Weibull family of distributions
title The gamma extended Weibull family of distributions
spellingShingle The gamma extended Weibull family of distributions
Nascimento, Abraão D. C.
Extended Weibull distributions
Hazard rate function
Maximum likelihood estimation
Moments
Stacy’s generalized gamma distribution
title_short The gamma extended Weibull family of distributions
title_full The gamma extended Weibull family of distributions
title_fullStr The gamma extended Weibull family of distributions
title_full_unstemmed The gamma extended Weibull family of distributions
title_sort The gamma extended Weibull family of distributions
author Nascimento, Abraão D. C.
author_facet Nascimento, Abraão D. C.
Bourguignon, Marcelo
Zea, Luz M.
Santos-Neto, Manoel
Silva, Rodrigo B.
Cordeiro, Gauss M.
author_role author
author2 Bourguignon, Marcelo
Zea, Luz M.
Santos-Neto, Manoel
Silva, Rodrigo B.
Cordeiro, Gauss M.
author2_role author
author
author
author
author
dc.contributor.author.fl_str_mv Nascimento, Abraão D. C.
Bourguignon, Marcelo
Zea, Luz M.
Santos-Neto, Manoel
Silva, Rodrigo B.
Cordeiro, Gauss M.
dc.subject.por.fl_str_mv Extended Weibull distributions
Hazard rate function
Maximum likelihood estimation
Moments
Stacy’s generalized gamma distribution
topic Extended Weibull distributions
Hazard rate function
Maximum likelihood estimation
Moments
Stacy’s generalized gamma distribution
description We introduce a new family of distributions called the gamma extended Weibull family. The proposed family includes several well-known models as special cases and defines at least seventeen new special models. Structural properties of this family are studied. Additionally, the maximum likelihood method for estimating the model parameters is discussed. An application to real data illustrates the usefulness of the new family. The results provide evidence that the proposed family outperforms other classes of lifetime models.
publishDate 2014
dc.date.issued.fl_str_mv 2014-03
dc.date.accessioned.fl_str_mv 2022-10-31T21:34:10Z
dc.date.available.fl_str_mv 2022-10-31T21:34:10Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.citation.fl_str_mv NASCIMENTO, Abraão D.C.et al. The gamma extended Weibull family of distributions. Journal of Statistical Theory and Applications, v. 13, p. 1, 2014. Disponível em: https://www.atlantis-press.com/journals/jsta/11607. Acesso em: 07 dez. 2017
dc.identifier.uri.fl_str_mv https://repositorio.ufrn.br/handle/123456789/49658
dc.identifier.issn.none.fl_str_mv 1538-7887
identifier_str_mv NASCIMENTO, Abraão D.C.et al. The gamma extended Weibull family of distributions. Journal of Statistical Theory and Applications, v. 13, p. 1, 2014. Disponível em: https://www.atlantis-press.com/journals/jsta/11607. Acesso em: 07 dez. 2017
1538-7887
url https://repositorio.ufrn.br/handle/123456789/49658
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.publisher.none.fl_str_mv Journal of Statistical Theory and Applications
publisher.none.fl_str_mv Journal of Statistical Theory and Applications
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFRN
instname:Universidade Federal do Rio Grande do Norte (UFRN)
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instname_str Universidade Federal do Rio Grande do Norte (UFRN)
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institution UFRN
reponame_str Repositório Institucional da UFRN
collection Repositório Institucional da UFRN
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