讲座题目：Empirical likelihood for the bivariate survival function under univariate censoring

主讲人：赵亦川  美国乔治亚州立大学

讲座时间：2019年12月23日（周一）上午11：00—12：00

讲座地点：综合楼601

主讲人简介：

赵亦川，美国乔治亚州立大学数学与统计系终身教授，乔治亚州立大学神经科学研究所和公共卫生学院教授，研究领域包括Survival Analysis，Empirical Likelihood Method, Nonparametric Statistics, Analysis of ROC Curves, Bioinformatics, Monte Carlo Methods and Statistical Modeling of Fuzzy Systems等。赵亦川教授在广泛的统计研究领域发表研究论文90余篇，是三本统计学、生物统计和数据科学专著的联合主编。作为组织委员会主席，他成功组织了多个在亚特兰大召开的大型国际会议（包括Workshop Series on Biostatistics and Bioinformatics since its initiation 和The 25th ICSA Applied Statistics Symposium等）。赵亦川教授目前在几家主要的统计杂志担任编委会成员，是International Statistical Institute 的当选会员，也是泛华统计协会的理事会成员。

讲座摘要：

The bivariate survival function plays an important role in multivariate survival analysis. Using the idea of influence functions, we develop empirical likelihood confidence intervals for the bivariate survival function in the presence of univariate censoring. It is shown that the empirical log-likelihood ratio has an asymptotic standard chi-squared distribution with one degree of freedom. A comprehensive simulation study shows that the proposed method outperforms both the traditional normal approximation method and the adjusted empirical likelihood method in most cases. The Diabetic Retinopathy Data are analyzed for illustration of the proposed procedure. This is joint work with Haitao Huang.