Abstract
This paper is to study nonparametric Bayesian estimation for a proportional hazards model with "long-term survivors". The cumulative hazards function is modeled by a beta process, and the priors of the cure rate and coefficient of covariates can be improper distributions under the proposed model. The posterior estimators of the cure rate, the coefficient for covariates and the survival function are estimated from the cases of discrete-time, continuous-time and grouped survival data. A set of leukemia data are re-analyzed to illustrate the proposed model and statistical inference via a Markov chain Monte Carlo (MCMC) algorithm with Gibbs sampling.
Original language | English |
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Title of host publication | 3rd International Conference on Bioinformatics and Biomedical Engineering, iCBBE 2009 |
Place of Publication | Piscataway, N.J |
Publisher | Institute of Electrical and Electronics Engineers (IEEE) |
Pages | 1-6 |
Number of pages | 6 |
ISBN (Print) | 9781424429028 |
DOIs | |
Publication status | Published - 2009 |
Event | 3rd International Conference on Bioinformatics and Biomedical Engineering, iCBBE 2009 - Beijing, China Duration: 11 Jun 2009 → 13 Jun 2009 |
Other
Other | 3rd International Conference on Bioinformatics and Biomedical Engineering, iCBBE 2009 |
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Country | China |
City | Beijing |
Period | 11/06/09 → 13/06/09 |