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...
- 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
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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. |
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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 |
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Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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info:eu-repo/semantics/article |
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info:eu-repo/semantics/publishedVersion |
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http://purl.org/coar/resource_type/c_6501 |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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Text |
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ISSN: 2389-8976 |
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https://repositorio.unal.edu.co/handle/unal/66507 |
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http://bdigital.unal.edu.co/67535/ |
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ISSN: 2389-8976 |
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https://repositorio.unal.edu.co/handle/unal/66507 http://bdigital.unal.edu.co/67535/ |
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spa |
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spa |
| dc.relation.spa.fl_str_mv |
https://revistas.unal.edu.co/index.php/estad/article/view/55807 |
| 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 |
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http://purl.org/coar/access_right/c_abf2 |
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Atribución-NoComercial 4.0 Internacional |
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http://creativecommons.org/licenses/by-nc/4.0/ |
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info:eu-repo/semantics/openAccess |
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Atribución-NoComercial 4.0 Internacional Derechos reservados - Universidad Nacional de Colombia http://creativecommons.org/licenses/by-nc/4.0/ http://purl.org/coar/access_right/c_abf2 |
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openAccess |
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Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadística |
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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 |