Discrete Weibull regression model with cure fraction in survival data

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This paper presents a regression model for discrete time data with cure fraction. For this purpose, we considered a mixture model, in which times are modeled through the discrete Weibull distribution and the cure probability modeled with covariates by using the logit link function. Considering that...

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Detalles Bibliográficos
Autores: Silva, Carolina A., G. Otiniano, Cira E., Y. Nakano, Eduardo
Formato: artículo
Fecha de Publicación:2019
Institución:Universidad Nacional de Trujillo
Repositorio:Revistas - Universidad Nacional de Trujillo
Lenguaje:español
OAI Identifier:oai:ojs.revistas.unitru.edu.pe:article/2450
Enlace del recurso:https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2450
Nivel de acceso:acceso abierto
Materia:Mixture model
regression
Discrete Weibull distribution
EM algorithm
Modelo de mistura
regressao
distribuicao Weibull discreta
algoritmo EM
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spelling Discrete Weibull regression model with cure fraction in survival dataModelo de regressao Weibull discreto com fracao de cura em dados de sobrevivenciaSilva, Carolina A.G. Otiniano, Cira E.Y. Nakano, EduardoMixture modelregressionDiscrete Weibull distributionEM algorithmModelo de misturaregressaodistribuicao Weibull discretaalgoritmo EMThis paper presents a regression model for discrete time data with cure fraction. For this purpose, we considered a mixture model, in which times are modeled through the discrete Weibull distribution and the cure probability modeled with covariates by using the logit link function. Considering that the model is a mixture, the estimation of the parameters was performed by EM algorithm. The behavior of the estimating algorithm was tested with Monte Carlo simulation experiments and an application for real data was added.Este trabalho apresenta a formulacao de um modelo de regressao para dados de tempo discretos com fracao de cura. Para tanto, foi considerado um modelo de mistura, no qual os tempos sao modelados através da distribuicao Weibull discreta e a probabilidade de cura é modelada a partir de covariáveis utilizando a funcao de ligacao logito. Por se tratar de um modelo de mistura a estimacao dos parametros do modelo é feita via o algoritmo EM. O comportamento do algoritmo de estimacao é testado com vários experimentos de simulacao Monte Carlo e uma aplicacao em dados reais foi adicionada.National University of Trujillo - Academic Department of Mathematics2019-07-21info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdftext/htmlhttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/2450Selecciones Matemáticas; Vol. 6 No. 01 (2019): January - July; 84-97Selecciones Matemáticas; Vol. 6 Núm. 01 (2019): Enero-Julio; 84-97Selecciones Matemáticas; v. 6 n. 01 (2019): Enero-Julio; 84-972411-1783reponame:Revistas - Universidad Nacional de Trujilloinstname:Universidad Nacional de Trujilloinstacron:UNITRUspahttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/2450/2486https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2450/2503Derechos de autor 2019 Selecciones Matemáticasinfo:eu-repo/semantics/openAccessoai:ojs.revistas.unitru.edu.pe:article/24502022-10-21T18:52:41Z
dc.title.none.fl_str_mv Discrete Weibull regression model with cure fraction in survival data
Modelo de regressao Weibull discreto com fracao de cura em dados de sobrevivencia
title Discrete Weibull regression model with cure fraction in survival data
spellingShingle Discrete Weibull regression model with cure fraction in survival data
Silva, Carolina A.
Mixture model
regression
Discrete Weibull distribution
EM algorithm
Modelo de mistura
regressao
distribuicao Weibull discreta
algoritmo EM
title_short Discrete Weibull regression model with cure fraction in survival data
title_full Discrete Weibull regression model with cure fraction in survival data
title_fullStr Discrete Weibull regression model with cure fraction in survival data
title_full_unstemmed Discrete Weibull regression model with cure fraction in survival data
title_sort Discrete Weibull regression model with cure fraction in survival data
dc.creator.none.fl_str_mv Silva, Carolina A.
G. Otiniano, Cira E.
Y. Nakano, Eduardo
author Silva, Carolina A.
author_facet Silva, Carolina A.
G. Otiniano, Cira E.
Y. Nakano, Eduardo
author_role author
author2 G. Otiniano, Cira E.
Y. Nakano, Eduardo
author2_role author
author
dc.subject.none.fl_str_mv Mixture model
regression
Discrete Weibull distribution
EM algorithm
Modelo de mistura
regressao
distribuicao Weibull discreta
algoritmo EM
topic Mixture model
regression
Discrete Weibull distribution
EM algorithm
Modelo de mistura
regressao
distribuicao Weibull discreta
algoritmo EM
description This paper presents a regression model for discrete time data with cure fraction. For this purpose, we considered a mixture model, in which times are modeled through the discrete Weibull distribution and the cure probability modeled with covariates by using the logit link function. Considering that the model is a mixture, the estimation of the parameters was performed by EM algorithm. The behavior of the estimating algorithm was tested with Monte Carlo simulation experiments and an application for real data was added.
publishDate 2019
dc.date.none.fl_str_mv 2019-07-21
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2450
url https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2450
dc.language.none.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2450/2486
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2450/2503
dc.rights.none.fl_str_mv Derechos de autor 2019 Selecciones Matemáticas
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Derechos de autor 2019 Selecciones Matemáticas
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
text/html
dc.publisher.none.fl_str_mv National University of Trujillo - Academic Department of Mathematics
publisher.none.fl_str_mv National University of Trujillo - Academic Department of Mathematics
dc.source.none.fl_str_mv Selecciones Matemáticas; Vol. 6 No. 01 (2019): January - July; 84-97
Selecciones Matemáticas; Vol. 6 Núm. 01 (2019): Enero-Julio; 84-97
Selecciones Matemáticas; v. 6 n. 01 (2019): Enero-Julio; 84-97
2411-1783
reponame:Revistas - Universidad Nacional de Trujillo
instname:Universidad Nacional de Trujillo
instacron:UNITRU
instname_str Universidad Nacional de Trujillo
instacron_str UNITRU
institution UNITRU
reponame_str Revistas - Universidad Nacional de Trujillo
collection Revistas - Universidad Nacional de Trujillo
repository.name.fl_str_mv
repository.mail.fl_str_mv
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Discrete Weibull regression model with cure fraction in survival data
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