|
|||||
|
|
Block and Basu bivariate lifetime distribution in the presence of cure fraction |
|
| Authors: | Jorge Alberto Achcar Emílio Augusto Coelho-Barros Josmar Mazucheli |
| Institution: | 1. Departamento de Medicina Social, FMRP , Universidade de S?o Paulo , Ribeir?o Preto , SP , Brazil achcar@fmrp.usp.br;3. Departamento de Medicina Social, FMRP , Universidade de S?o Paulo , Ribeir?o Preto , SP , Brazil;4. COMAT, Universidade Tecnológica Federal do Paraná , Cornélio Procópio , PR , Brazil;5. Departamento de Estatística , Universidade Estadual de Maringá , Maringá , PR , Brazil |
| Abstract: | This paper presents estimates for the parameters included in the Block and Basu bivariate lifetime distributions in the presence of covariates and cure fraction, applied to analyze survival data when some individuals may never experience the event of interest and two lifetimes are associated with each unit. A Bayesian procedure is used to get point and confidence intervals for the unknown parameters. Posterior summaries of interest are obtained using standard Markov Chain Monte Carlo methods in rjags package for R software. An illustration of the proposed methodology is given for a Diabetic Retinopathy Study data set. |
| Keywords: | Block and Basu distribution cure fraction regression models MCMC methods lifetime data |