基于Weibull回归模型的逐步Ⅱ型区间删失数据的统计分析

Statistical Analysis for Type-Ⅱ Progressive Interval Censored Data Based on Weibull Survival Regression Models

文章考虑带有随机移除的逐步Ⅱ型区间删失(PICR-Ⅱ)方案下生存数据的统计分析和试验方案的设计问题.给出了Weibull回归模型参数的极大似然估计和贝叶斯估计方法.利用模拟数据和实际数据,对不同估计方法下参数估计的结果进行了比较.给出了最优PICR-Ⅱ方案设计方法.

This paper studies the statistical analysis of survival data and the optimal design problem under the progressive type II interval censored test plan with random removal(PICR-II).Based on the Weibull survival regression model,the maximum likelihood method and the Bayesian method are used to estimate the model parameters.The parameter estimates obtained by these two estimation methods are compared by using the simulated data and the actual data.The method to obtain the optimal PICR-II test plan is also discussed.