Discrete Weibull regression model with cure fraction in survival data

• 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

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.