Random effects in promotion time cure rate models

Authors:
Celia Mendes Carvalho Lopes;Heleno Bolfarine
Affiliations:
Universidade Presbiteriana Mackenzie, Brazil and Instituto de Matemática e Estatística da Universidade de São Paulo (IME-USP), Brazil;Instituto de Matemática e Estatística da Universidade de São Paulo (IME-USP), Brazil
Venue:
Computational Statistics & Data Analysis
Year:
2012

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Abstract

In this paper, a survival model with long-term survivors and random effects, based on the promotion time cure rate model formulation for models with a surviving fraction is investigated. We present Bayesian and classical estimation approaches. The Bayesian approach is implemented using a Markov chain Monte Carlo (MCMC) based on the Metropolis-Hastings algorithms. For the second one, we use restricted maximum likelihood (REML) estimators. A simulation study is performed to evaluate the accuracy of the applied techniques for the estimates and their standard deviations. An example on an oropharynx cancer study is used to illustrate the model and the estimation approaches considered in the study.