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主講人:吳裕振教授 (Yuh-Jenn Wu)中原大學應用數學系

 題:A flexible Bayesian non-parametric approach for fitting the odds to case II interval-censored data

  期:10719日(星期二)

 間:下午13:30

  點:科學館S433

摘要:

Interval-censored survival data arise often in medical applications and clinical trials [1]. However, most of existing interval-censored survival analysis techniques suffer from challenges such as heavy computational cost or non-proportionality of hazard rates due to complicated data structure [2, 3]. To address these challenges, in this paper, we introduce a flexible Bayesian non-parametric procedure for the estimation of the odds under interval censoring, case II. We use Bernstein polynomials to introduce a prior for modeling the odds and propose a novel and easy-to-implement sampling manner based on the Markov chain Monte Carlo algorithms to study the posterior distributions. We also give general results on asymptotic properties of the posterior distributions. The simulated examples show that the proposed approach is quite satisfactory in the cases considered. The use of the proposed method is further illustrated by analyzing the hemophilia study data [4].

KEYWORDS 

case II interval-censored data; odds; Bernstein polynomials; Markov chain Monte Carlo

 Work with Wei-Quan Fangb, Li-Hsueh Chenga, Kai-Chi Chuc, Yin-Tzer Shihc and Li-Chu Chiend*


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數學中的一些美麗定理具有這樣的特性:它們極易從事實中歸納出來,但證明卻隱藏的極深。—— 高斯