Exponentiated discrete weibull distribution for censored data
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UnB |
Texto Completo: | http://repositorio2.unb.br/jspui/handle/10482/46533 https://doi.org/10.28951/rbb.v38i1.425 |
Resumo: | This paper further develops the statistical inference procedure of the exponentiated discrete Weibull distribution (EDW) for data with the presence of censoring. This generalization of the discrete Weibull distribution has the advantage of being suitable to model non-monotone failure rates, such as those with bathtub and unimodal distributions. Inferences about EDW distribution are presented using both frequentist and bayesian approaches. In addition, the classical Likelihood Ratio Test and a Full Bayesian Significance Test (FBST) were performed to test the parameters of EDW distribution. The method presented is applied to simulated data and illustrated with a real dataset regarding patients diagnosed with head and neck cancer. |
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Exponentiated discrete weibull distribution for censored dataAnálise de sobrevivência (Biometria)Distribuição (Probabilidades)Inferência bayesianaThis paper further develops the statistical inference procedure of the exponentiated discrete Weibull distribution (EDW) for data with the presence of censoring. This generalization of the discrete Weibull distribution has the advantage of being suitable to model non-monotone failure rates, such as those with bathtub and unimodal distributions. Inferences about EDW distribution are presented using both frequentist and bayesian approaches. In addition, the classical Likelihood Ratio Test and a Full Bayesian Significance Test (FBST) were performed to test the parameters of EDW distribution. The method presented is applied to simulated data and illustrated with a real dataset regarding patients diagnosed with head and neck cancer.Instituto de Ciências Exatas (IE)Departamento de Estatística (IE EST)Editora UFLAUniversidade de BrasíliaUniversidade de BrasíliaUniversidade de BrasíliaCardial, Marcílio Ramos PereiraGomes, Juliana Betini FachiniNakano, Eduardo Yoshio2023-09-22T14:58:25Z2023-09-22T14:58:25Z2020-03-28info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfCARDIAL, Marcílio Ramos Pereira; FACHINI-GOMES, Juliana Betini; NAKANO, Eduardo Yoshio. Exponentiated discrete weibull distribution for censored data. Brazilian Journal of Biometrics, Lavras, v. 38, n. 1, p. 35–56, 2020. DOI: 10.28951/rbb.v38i1.425. Disponível em: https://biometria.ufla.br/index.php/BBJ/article/view/425. Acesso em: 22 set. 2023.http://repositorio2.unb.br/jspui/handle/10482/46533https://doi.org/10.28951/rbb.v38i1.425engBrazilian Journal of Biometrics All the contents of this journal, except where otherwise noted, is licensed under a Creative Commons Attribution-NonCommercial 4.0 International Public License (CC BY-NC 4.0). Fonte: https://biometria.ufla.br/index.php/BBJ/article/view/425. Acesso em: 22 set. 2023.info:eu-repo/semantics/openAccessreponame:Repositório Institucional da UnBinstname:Universidade de Brasília (UnB)instacron:UNB2023-09-27T20:27:53Zoai:repositorio.unb.br:10482/46533Repositório InstitucionalPUBhttps://repositorio.unb.br/oai/requestrepositorio@unb.bropendoar:2023-09-27T20:27:53Repositório Institucional da UnB - Universidade de Brasília (UnB)false |
dc.title.none.fl_str_mv |
Exponentiated discrete weibull distribution for censored data |
title |
Exponentiated discrete weibull distribution for censored data |
spellingShingle |
Exponentiated discrete weibull distribution for censored data Cardial, Marcílio Ramos Pereira Análise de sobrevivência (Biometria) Distribuição (Probabilidades) Inferência bayesiana |
title_short |
Exponentiated discrete weibull distribution for censored data |
title_full |
Exponentiated discrete weibull distribution for censored data |
title_fullStr |
Exponentiated discrete weibull distribution for censored data |
title_full_unstemmed |
Exponentiated discrete weibull distribution for censored data |
title_sort |
Exponentiated discrete weibull distribution for censored data |
author |
Cardial, Marcílio Ramos Pereira |
author_facet |
Cardial, Marcílio Ramos Pereira Gomes, Juliana Betini Fachini Nakano, Eduardo Yoshio |
author_role |
author |
author2 |
Gomes, Juliana Betini Fachini Nakano, Eduardo Yoshio |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade de Brasília Universidade de Brasília Universidade de Brasília |
dc.contributor.author.fl_str_mv |
Cardial, Marcílio Ramos Pereira Gomes, Juliana Betini Fachini Nakano, Eduardo Yoshio |
dc.subject.por.fl_str_mv |
Análise de sobrevivência (Biometria) Distribuição (Probabilidades) Inferência bayesiana |
topic |
Análise de sobrevivência (Biometria) Distribuição (Probabilidades) Inferência bayesiana |
description |
This paper further develops the statistical inference procedure of the exponentiated discrete Weibull distribution (EDW) for data with the presence of censoring. This generalization of the discrete Weibull distribution has the advantage of being suitable to model non-monotone failure rates, such as those with bathtub and unimodal distributions. Inferences about EDW distribution are presented using both frequentist and bayesian approaches. In addition, the classical Likelihood Ratio Test and a Full Bayesian Significance Test (FBST) were performed to test the parameters of EDW distribution. The method presented is applied to simulated data and illustrated with a real dataset regarding patients diagnosed with head and neck cancer. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020-03-28 2023-09-22T14:58:25Z 2023-09-22T14:58:25Z |
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 |
CARDIAL, Marcílio Ramos Pereira; FACHINI-GOMES, Juliana Betini; NAKANO, Eduardo Yoshio. Exponentiated discrete weibull distribution for censored data. Brazilian Journal of Biometrics, Lavras, v. 38, n. 1, p. 35–56, 2020. DOI: 10.28951/rbb.v38i1.425. Disponível em: https://biometria.ufla.br/index.php/BBJ/article/view/425. Acesso em: 22 set. 2023. http://repositorio2.unb.br/jspui/handle/10482/46533 https://doi.org/10.28951/rbb.v38i1.425 |
identifier_str_mv |
CARDIAL, Marcílio Ramos Pereira; FACHINI-GOMES, Juliana Betini; NAKANO, Eduardo Yoshio. Exponentiated discrete weibull distribution for censored data. Brazilian Journal of Biometrics, Lavras, v. 38, n. 1, p. 35–56, 2020. DOI: 10.28951/rbb.v38i1.425. Disponível em: https://biometria.ufla.br/index.php/BBJ/article/view/425. Acesso em: 22 set. 2023. |
url |
http://repositorio2.unb.br/jspui/handle/10482/46533 https://doi.org/10.28951/rbb.v38i1.425 |
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.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Editora UFLA |
publisher.none.fl_str_mv |
Editora UFLA |
dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UnB instname:Universidade de Brasília (UnB) instacron:UNB |
instname_str |
Universidade de Brasília (UnB) |
instacron_str |
UNB |
institution |
UNB |
reponame_str |
Repositório Institucional da UnB |
collection |
Repositório Institucional da UnB |
repository.name.fl_str_mv |
Repositório Institucional da UnB - Universidade de Brasília (UnB) |
repository.mail.fl_str_mv |
repositorio@unb.br |
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1814508406769188864 |