講座題目：Novel empirical likelihood method for the cumulative hazard ratio under stratified Cox models

講座時間：2025年6月13日（周五）15:30--16:30

講座地點：犀浦校區(qū)3號教學(xué)樓30425

主講人簡介：趙亦川教授是美國佐治亞州立大學(xué)的教授，主要研究方向為生存分析、經(jīng)驗似然方法、非參數(shù)統(tǒng)計、ROC曲線分析、生物信息學(xué)、蒙特卡洛方法和模糊系統(tǒng)等統(tǒng)計模型。趙教授在廣泛的統(tǒng)計學(xué)和生物統(tǒng)計學(xué)研究領(lǐng)域發(fā)表了一百多篇研究論文，在施普林格出版社編輯出版六本書籍，在全球各地作了兩百多次的學(xué)術(shù)報告，多次成功舉辦了統(tǒng)計學(xué)，生物統(tǒng)計學(xué)和生物信息學(xué)方面的大型國際學(xué)術(shù)會議。趙教授目前是若干權(quán)威統(tǒng)計期刊的副主編或編委會成員，是美國統(tǒng)計學(xué)會的會士和國際統(tǒng)計學(xué)會的當(dāng)選成員。

講座內(nèi)容簡介：

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.