Confidence Bands for the Survival Function Using a Weibull Regression Model in Presence of Arbitrary Censoring

Usually, the exact time at which an event occurs cannot be observed for several reasons; for instance, it is not possible to constantly monitor  a characteristic of interest. This generates a phenomenon known as censoring that can be classified as having a left censor, right censor or interval censo...

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Autores:
Jaramilo Elorza, Mario César
Salazar Uribe, Juan Carlos
Tipo de recurso:
Article of journal
Fecha de publicación:
2017
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/66507
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/66507
http://bdigital.unal.edu.co/67535/
Palabra clave:
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Survival analysis
Biostatistical
Confidence bands
Goodness of fit
Regression models
Simulation
análisis de supervivencia
bandas de confianza
bioestadística
modelos de regresión
simulación.
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_8568ed77b8bf7e437b665461d9cc8789
oai_identifier_str oai:repositorio.unal.edu.co:unal/66507
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
repository_id_str
dc.title.spa.fl_str_mv Confidence Bands for the Survival Function Using a Weibull Regression Model in Presence of Arbitrary Censoring
title Confidence Bands for the Survival Function Using a Weibull Regression Model in Presence of Arbitrary Censoring
spellingShingle Confidence Bands for the Survival Function Using a Weibull Regression Model in Presence of Arbitrary Censoring
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Survival analysis
Biostatistical
Confidence bands
Goodness of fit
Regression models
Simulation
análisis de supervivencia
bandas de confianza
bioestadística
modelos de regresión
simulación.
title_short Confidence Bands for the Survival Function Using a Weibull Regression Model in Presence of Arbitrary Censoring
title_full Confidence Bands for the Survival Function Using a Weibull Regression Model in Presence of Arbitrary Censoring
title_fullStr Confidence Bands for the Survival Function Using a Weibull Regression Model in Presence of Arbitrary Censoring
title_full_unstemmed Confidence Bands for the Survival Function Using a Weibull Regression Model in Presence of Arbitrary Censoring
title_sort Confidence Bands for the Survival Function Using a Weibull Regression Model in Presence of Arbitrary Censoring
dc.creator.fl_str_mv Jaramilo Elorza, Mario César
Salazar Uribe, Juan Carlos
dc.contributor.author.spa.fl_str_mv Jaramilo Elorza, Mario César
Salazar Uribe, Juan Carlos
dc.subject.ddc.spa.fl_str_mv 51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
topic 51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Survival analysis
Biostatistical
Confidence bands
Goodness of fit
Regression models
Simulation
análisis de supervivencia
bandas de confianza
bioestadística
modelos de regresión
simulación.
dc.subject.proposal.spa.fl_str_mv Survival analysis
Biostatistical
Confidence bands
Goodness of fit
Regression models
Simulation
análisis de supervivencia
bandas de confianza
bioestadística
modelos de regresión
simulación.
description Usually, the exact time at which an event occurs cannot be observed for several reasons; for instance, it is not possible to constantly monitor  a characteristic of interest. This generates a phenomenon known as censoring that can be classified as having a left censor, right censor or interval censor. When one is working with survival data in the presence of arbitrary censoring, the survival time of interest is defined as the elapsed time between an initial event and the next event that is generally unknown. This problem has been widely studied in the statistic literature and some progress has been made, toward resolving and the formulation of a bivariate likelihood to estimate parameters in a parametric regression model offers positive development opportunities. In this paper, we construct a bivariate likelihood for the Weibull regression model in the presence of interval censoring. Finally, its performance is illustrated by means of a simulation study.
publishDate 2017
dc.date.issued.spa.fl_str_mv 2017-01-01
dc.date.accessioned.spa.fl_str_mv 2019-07-03T02:15:55Z
dc.date.available.spa.fl_str_mv 2019-07-03T02:15:55Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.issn.spa.fl_str_mv ISSN: 2389-8976
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identifier_str_mv ISSN: 2389-8976
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dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Estadística
Revista Colombiana de Estadística
dc.relation.references.spa.fl_str_mv Jaramilo Elorza, Mario César and Salazar Uribe, Juan Carlos (2017) Confidence Bands for the Survival Function Using a Weibull Regression Model in Presence of Arbitrary Censoring. Revista Colombiana de Estadística, 40 (1). pp. 85-103. ISSN 2389-8976
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
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dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
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eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadística
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Jaramilo Elorza, Mario César37486c2a-8353-40ca-b525-1dd0316bb5af300Salazar Uribe, Juan Carlos0b8c2749-1e8e-4ac9-abbf-b88d52d0c7c83002019-07-03T02:15:55Z2019-07-03T02:15:55Z2017-01-01ISSN: 2389-8976https://repositorio.unal.edu.co/handle/unal/66507http://bdigital.unal.edu.co/67535/Usually, the exact time at which an event occurs cannot be observed for several reasons; for instance, it is not possible to constantly monitor  a characteristic of interest. This generates a phenomenon known as censoring that can be classified as having a left censor, right censor or interval censor. When one is working with survival data in the presence of arbitrary censoring, the survival time of interest is defined as the elapsed time between an initial event and the next event that is generally unknown. This problem has been widely studied in the statistic literature and some progress has been made, toward resolving and the formulation of a bivariate likelihood to estimate parameters in a parametric regression model offers positive development opportunities. In this paper, we construct a bivariate likelihood for the Weibull regression model in the presence of interval censoring. Finally, its performance is illustrated by means of a simulation study.Usualmente, el tiempo exacto en el que ocurre un evento no se puedeobservar por diversas razones; por ejemplo, no es posible un monitoreo constante de las características de interés. Esto genera un fenómeno conocido como censura que puede ser de tres tipos: a izquierda, a derecha, o de intervalo. En datos de tiempo de vida con censura arbitraria (censura a izquierda, a derecha, o de intervalo), el tiempo de supervivencia de interés es definido como el lapso de tiempo entre un evento inicial y el evento siguiente, el cuál generalmente es desconocido. Este problema ha sido ampliamente estudiado en la literatura estadística, y se evidencian avances importantes. Sin embargo, la construcción de una verosimilitud bivariada para la estimación de los parámetros de modelos de regresión paramétricos, ofrece oportunidades de desarrollo. En este trabajo se construye una verosimilitud bivariada para el modelo de regresión Weibull, en presencia de censura arbitraria. Finalmente se ilustra su desempeño por medio de un estudio de simulación.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadísticahttps://revistas.unal.edu.co/index.php/estad/article/view/55807Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de EstadísticaRevista Colombiana de EstadísticaJaramilo Elorza, Mario César and Salazar Uribe, Juan Carlos (2017) Confidence Bands for the Survival Function Using a Weibull Regression Model in Presence of Arbitrary Censoring. Revista Colombiana de Estadística, 40 (1). pp. 85-103. ISSN 2389-897651 Matemáticas / Mathematics31 Colecciones de estadística general / StatisticsSurvival analysisBiostatisticalConfidence bandsGoodness of fitRegression modelsSimulationanálisis de supervivenciabandas de confianzabioestadísticamodelos de regresiónsimulación.Confidence Bands for the Survival Function Using a Weibull Regression Model in Presence of Arbitrary CensoringArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL55807-315497-1-PB.pdfapplication/pdf974005https://repositorio.unal.edu.co/bitstream/unal/66507/1/55807-315497-1-PB.pdf51d0400816115261ec25750d6ee45ed0MD51THUMBNAIL55807-315497-1-PB.pdf.jpg55807-315497-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg5711https://repositorio.unal.edu.co/bitstream/unal/66507/2/55807-315497-1-PB.pdf.jpgf8ced10f9b3ae4526276081746f88229MD52unal/66507oai:repositorio.unal.edu.co:unal/665072023-05-25 23:03:02.421Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co