讲座题目：Novel empirical likelihood method for the cumulative hazard ratio under stratified Cox models

讲座时间：2025年6月13日（周五）15:30--16:30

讲座地点：犀浦校区3号教学楼30425

主讲人简介：赵亦川教授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。赵教授在广泛的统计学和生物统计学研究领域发表了一百多篇研究论文，在施普林格出版社编辑出版六本书籍，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，是美国统计学会的会士和国际统计学会的当选成员。

讲座内容简介：

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 ratio 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.

The talk is based on joint work with Dazhi Zhao.