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 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.

• 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