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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Cardial, Marcílio Ramos PereiraGomes, Juliana Betini FachiniNakano, Eduardo YoshioUniversidade de BrasíliaUniversidade de BrasíliaUniversidade de Brasília2023-09-22T14:58:25Z2023-09-22T14:58:25Z2020-03-28CARDIAL, 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.v38i1.425engEditora UFLABrazilian 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/openAccessExponentiated discrete weibull distribution for censored datainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleAnálise 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)reponame:Repositório Institucional da UnBinstname:Universidade de Brasília (UnB)instacron:UNBORIGINALARTIGO_ExponentiatedDiscreteWeibull .pdfARTIGO_ExponentiatedDiscreteWeibull .pdfapplication/pdf527547http://repositorio2.unb.br/jspui/bitstream/10482/46533/3/ARTIGO_ExponentiatedDiscreteWeibull%20.pdfe3dea797fc23476723b949ce3fa615d5MD53open accessLICENSElicense.txtlicense.txttext/plain102http://repositorio2.unb.br/jspui/bitstream/10482/46533/4/license.txtaed4704d04bb260d4decd80db311aaa5MD54open access10482/465332023-09-27 17:27:53.996open accessoai:repositorio2.unb.br:10482/46533U3VibWlzc8OjbyBlZmV0aXZhZGEgZGUgYWNvcmRvIGNvbSBsaWNlbsOnYSBjb25jZWRpZGEgcGVsbyBhdXRvciBlL291IGRldGVudG9yIGRvcyBkaXJlaXRvcyBhdXRvcmFpcy4KBiblioteca Digital de Teses e DissertaçõesPUBhttps://repositorio.unb.br/oai/requestopendoar:2023-09-27T20:27:53Repositório Institucional da UnB - Universidade de Brasília (UnB)false |
dc.title.pt_BR.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.affiliation.pt_BR.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.keyword.pt_BR.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.issued.fl_str_mv |
2020-03-28 |
dc.date.accessioned.fl_str_mv |
2023-09-22T14:58:25Z |
dc.date.available.fl_str_mv |
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.citation.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. |
dc.identifier.uri.fl_str_mv |
http://repositorio2.unb.br/jspui/handle/10482/46533 |
dc.identifier.doi.pt_BR.fl_str_mv |
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 |
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eng |
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eng |
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info:eu-repo/semantics/openAccess |
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openAccess |
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Editora UFLA |
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Editora UFLA |
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reponame:Repositório Institucional da UnB instname:Universidade de Brasília (UnB) instacron:UNB |
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Universidade de Brasília (UnB) |
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