题目: Novel empirical likelihood method for the cumulative hazard ratio under stratified Cox models
主讲人：赵亦川
讲座时间：6月23日（周二） 16：00—17：00
地点：综合楼644会议室
报告人简介：
赵亦川博士是美国佐治亚州立大学的教授，主要研究方向为生存分析、经验似然方法、非参数统计、ROC曲线分析、生物信息学、蒙特卡洛方法和模糊系统等统计模型。
赵教授在统计学和生物统计学研究领域发表论文一百余篇，在施普林格出版社编辑出版七本书籍，在全球各地作了两百多次的学术报告，多次成功举办了统计学，生物统计学和生物信息学方面的大型国际学术会议。赵教授目前是若干权威统计期刊的副主编或编委会成员，也是泛华统计协会与 Springer 出版社合作的统计学丛书的共同主编。他担任泛华统计协会的董事会成员和美国统计学会（ASA）风险分析分会的主席，也是美国统计学会的会士和国际统计学会的当选成员。
报告摘要：
Evaluating the treatment's effect is a crucial topic in clinical studies. Nowadays, the ratio of cumulative hazards is often applied to accomplish this task, especially when those hazards may be nonproportional. The stratified Cox proportional hazards model, as an important extension of the classical Cox model, has the ability to flexibly handle nonproportional hazards. In this article, we propose a novel empirical likelihood method to construct the confidence interval for cumulative hazard ratio under the stratified Cox model. The large sample properties of the proposed profile empirical likelihood rat io statistic are investigated, and the finite sample properties of the empirical likelihood-based estimators under some different situations are explored in simulation studies. The proposed method was finally applied to perform statistical analysis on a real-world dataset on the survival experience of patients with heart failure.
