Confidence Bands for the Survival Function Using a Weibull Regression Model in Presence of Arbitrary Censoring
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| Formato: | Artículo científico |
| Lenguaje: | en |
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Universidad Nacional de Colombia
2017
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| _version_ | 1876447369580511232 |
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| author | Mario César Jaramillo Elorza |
| author_facet | Mario César Jaramillo Elorza |
| contents | Confidence Bands for the Survival Function Using a Weibull Regression Model in Presence of Arbitrary Censoring Mario César Jaramillo Elorza Juan Carlos Salazar Uribe Física, Astronomía y Matemáticas Simulation Biostatistics Goodness of Fit Confidence Bands Regression Models 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 censor- ing, 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 devel- opment 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. 2017 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89949526006 en http://www.redalyc.org/revista.oa?id=899 Revista Colombiana de Estadística application/pdf Universidad Nacional de Colombia Revista Colombiana de Estadística (Colombia) Num.1 Vol.40 |
| format | Artículo científico |
| id | redalyc_89949526006 |
| institution | Redalyc |
| language | en |
| publishDate | 2017 |
| publisher | Universidad Nacional de Colombia |
| spellingShingle | Confidence Bands for the Survival Function Using a Weibull Regression Model in Presence of Arbitrary Censoring Mario César Jaramillo Elorza Física, Astronomía y Matemáticas Simulation Biostatistics Goodness of Fit Confidence Bands Regression Models Confidence Bands for the Survival Function Using a Weibull Regression Model in Presence of Arbitrary Censoring Mario César Jaramillo Elorza Juan Carlos Salazar Uribe Física, Astronomía y Matemáticas Simulation Biostatistics Goodness of Fit Confidence Bands Regression Models 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 censor- ing, 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 devel- opment 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. 2017 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89949526006 en http://www.redalyc.org/revista.oa?id=899 Revista Colombiana de Estadística application/pdf Universidad Nacional de Colombia Revista Colombiana de Estadística (Colombia) Num.1 Vol.40 |
| title | Confidence Bands for the Survival Function Using a Weibull Regression Model in Presence of Arbitrary Censoring |
| topic | Física, Astronomía y Matemáticas Simulation Biostatistics Goodness of Fit Confidence Bands Regression Models |
| url | https://www.redalyc.org/articulo.oa?id=89949526006 |