Nonparametric Bayesian Estimation Based on Beta Prior in Cure Model

摘要：

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.

作者: Xiaobing Zhao Cuiliu Xiao Xian Zhou

作者单位: School of Science,Jiangnan University 1800 Lihu Road,Wuxi,Jiangsu Province,CHINA 214122 Department of Actuarial Studies Macquarie University,NSW,Australia

会议类型: 国际会议

会议名称: The 3rd International Conference on Bioinformatics and Biomedical Engineering(iCBBE 2009)(第三届生物信息与生物医学工程国际会议)

会议地点: 北京

会议语种:英文

页码: 1-6

在线出版日期: 2009-06-11（万方平台首次上网日期，不代表论文的发表时间）