Exponentiated discrete weibull distribution for censored data

Detalhes bibliográficos
Autor(a) principal: Cardial, Marcílio Ramos Pereira
Data de Publicação: 2020
Outros Autores: Gomes, Juliana Betini Fachini, Nakano, Eduardo Yoshio
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.
id UNB_83753b016fac62068899764c00772bf2
oai_identifier_str oai:repositorio.unb.br:10482/46533
network_acronym_str UNB
network_name_str Repositório Institucional da UnB
repository_id_str
spelling 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
_version_ 1814508406769188864