Estimation and diagnostics for the piecewise exponential distribution in survival analysis with fraction cure

Author(s)

Alessandra Cristiane Sibim

• Document type: Master's Dissertation
• Press: São Carlos.
• Institution: Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB)
• Defense date: 2011-03-31

Examining board members

Vicente Garibay Cancho; Heleno Bolfarine; Francisco Louzada Neto

• Advisor: Vicente Garibay Cancho

Abstract

The main objective is to develop procedures inferences in a bayesian perspective for survival models with (or without) the cure rate based on piecewise exponential distribution. The methodology is based on bayesian methods for Markov Chain Monte Carlo (MCMC). To detect influential observations in the models considering bayesian case deletion influence diagnostics based on the Kullback-Leibler divergence (Cho et al., 2009). Furthermore, we propose the negative binomial model destructive cure rate. The proposed model is more general than the survival models with cure rate, since the probability to estimate the number of cases which were not eliminated by an initial treatment (AU)

• FAPESP's process: 09/11228-7 - Use of the Piecewise Exponential Distribution in the Survival Analisis with Cure Rate: Estimation and Diagnostic.
• Grantee: Alessandra Cristiane Sibim
• Support Opportunities: Scholarships in Brazil - Master