The gamma extended Weibull family of distributions
Autor(a) principal: | |
---|---|
Data de Publicação: | 2014 |
Outros Autores: | , , , , |
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. |
id |
UFRN_768f3586ff5bbe00b12e7d8de9980c39 |
---|---|
oai_identifier_str |
oai:https://repositorio.ufrn.br:123456789/49658 |
network_acronym_str |
UFRN |
network_name_str |
Repositório Institucional da UFRN |
repository_id_str |
|
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:123456789/49658Tk9URTogUExBQ0UgWU9VUiBPV04gTElDRU5TRSBIRVJFClRoaXMgc2FtcGxlIGxpY2Vuc2UgaXMgcHJvdmlkZWQgZm9yIGluZm9ybWF0aW9uYWwgcHVycG9zZXMgb25seS4KCk5PTi1FWENMVVNJVkUgRElTVFJJQlVUSU9OIExJQ0VOU0UKCkJ5IHNpZ25pbmcgYW5kIHN1Ym1pdHRpbmcgdGhpcyBsaWNlbnNlLCB5b3UgKHRoZSBhdXRob3Iocykgb3IgY29weXJpZ2h0Cm93bmVyKSBncmFudHMgdG8gRFNwYWNlIFVuaXZlcnNpdHkgKERTVSkgdGhlIG5vbi1leGNsdXNpdmUgcmlnaHQgdG8gcmVwcm9kdWNlLAp0cmFuc2xhdGUgKGFzIGRlZmluZWQgYmVsb3cpLCBhbmQvb3IgZGlzdHJpYnV0ZSB5b3VyIHN1Ym1pc3Npb24gKGluY2x1ZGluZwp0aGUgYWJzdHJhY3QpIHdvcmxkd2lkZSBpbiBwcmludCBhbmQgZWxlY3Ryb25pYyBmb3JtYXQgYW5kIGluIGFueSBtZWRpdW0sCmluY2x1ZGluZyBidXQgbm90IGxpbWl0ZWQgdG8gYXVkaW8gb3IgdmlkZW8uCgpZb3UgYWdyZWUgdGhhdCBEU1UgbWF5LCB3aXRob3V0IGNoYW5naW5nIHRoZSBjb250ZW50LCB0cmFuc2xhdGUgdGhlCnN1Ym1pc3Npb24gdG8gYW55IG1lZGl1bSBvciBmb3JtYXQgZm9yIHRoZSBwdXJwb3NlIG9mIHByZXNlcnZhdGlvbi4KCllvdSBhbHNvIGFncmVlIHRoYXQgRFNVIG1heSBrZWVwIG1vcmUgdGhhbiBvbmUgY29weSBvZiB0aGlzIHN1Ym1pc3Npb24gZm9yCnB1cnBvc2VzIG9mIHNlY3VyaXR5LCBiYWNrLXVwIGFuZCBwcmVzZXJ2YXRpb24uCgpZb3UgcmVwcmVzZW50IHRoYXQgdGhlIHN1Ym1pc3Npb24gaXMgeW91ciBvcmlnaW5hbCB3b3JrLCBhbmQgdGhhdCB5b3UgaGF2ZQp0aGUgcmlnaHQgdG8gZ3JhbnQgdGhlIHJpZ2h0cyBjb250YWluZWQgaW4gdGhpcyBsaWNlbnNlLiBZb3UgYWxzbyByZXByZXNlbnQKdGhhdCB5b3VyIHN1Ym1pc3Npb24gZG9lcyBub3QsIHRvIHRoZSBiZXN0IG9mIHlvdXIga25vd2xlZGdlLCBpbmZyaW5nZSB1cG9uCmFueW9uZSdzIGNvcHlyaWdodC4KCklmIHRoZSBzdWJtaXNzaW9uIGNvbnRhaW5zIG1hdGVyaWFsIGZvciB3aGljaCB5b3UgZG8gbm90IGhvbGQgY29weXJpZ2h0LAp5b3UgcmVwcmVzZW50IHRoYXQgeW91IGhhdmUgb2J0YWluZWQgdGhlIHVucmVzdHJpY3RlZCBwZXJtaXNzaW9uIG9mIHRoZQpjb3B5cmlnaHQgb3duZXIgdG8gZ3JhbnQgRFNVIHRoZSByaWdodHMgcmVxdWlyZWQgYnkgdGhpcyBsaWNlbnNlLCBhbmQgdGhhdApzdWNoIHRoaXJkLXBhcnR5IG93bmVkIG1hdGVyaWFsIGlzIGNsZWFybHkgaWRlbnRpZmllZCBhbmQgYWNrbm93bGVkZ2VkCndpdGhpbiB0aGUgdGV4dCBvciBjb250ZW50IG9mIHRoZSBzdWJtaXNzaW9uLgoKSUYgVEhFIFNVQk1JU1NJT04gSVMgQkFTRUQgVVBPTiBXT1JLIFRIQVQgSEFTIEJFRU4gU1BPTlNPUkVEIE9SIFNVUFBPUlRFRApCWSBBTiBBR0VOQ1kgT1IgT1JHQU5JWkFUSU9OIE9USEVSIFRIQU4gRFNVLCBZT1UgUkVQUkVTRU5UIFRIQVQgWU9VIEhBVkUKRlVMRklMTEVEIEFOWSBSSUdIVCBPRiBSRVZJRVcgT1IgT1RIRVIgT0JMSUdBVElPTlMgUkVRVUlSRUQgQlkgU1VDSApDT05UUkFDVCBPUiBBR1JFRU1FTlQuCgpEU1Ugd2lsbCBjbGVhcmx5IGlkZW50aWZ5IHlvdXIgbmFtZShzKSBhcyB0aGUgYXV0aG9yKHMpIG9yIG93bmVyKHMpIG9mIHRoZQpzdWJtaXNzaW9uLCBhbmQgd2lsbCBub3QgbWFrZSBhbnkgYWx0ZXJhdGlvbiwgb3RoZXIgdGhhbiBhcyBhbGxvd2VkIGJ5IHRoaXMKbGljZW5zZSwgdG8geW91ciBzdWJtaXNzaW9uLgo=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 |
format |
article |
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 |
eu_rights_str_mv |
openAccess |
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) instacron:UFRN |
instname_str |
Universidade Federal do Rio Grande do Norte (UFRN) |
instacron_str |
UFRN |
institution |
UFRN |
reponame_str |
Repositório Institucional da UFRN |
collection |
Repositório Institucional da UFRN |
bitstream.url.fl_str_mv |
https://repositorio.ufrn.br/bitstream/123456789/49658/2/license.txt https://repositorio.ufrn.br/bitstream/123456789/49658/1/TheGammaExtended_2014.pdf |
bitstream.checksum.fl_str_mv |
8a4605be74aa9ea9d79846c1fba20a33 adb3ff98913929b3e6e94269de6f7357 |
bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 |
repository.name.fl_str_mv |
Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN) |
repository.mail.fl_str_mv |
|
_version_ |
1797776908016943104 |