统计与管理学院2018年学术报告第13期

【主 题】 Empirical likelihood for the bivariate survival function under univariate censoring

【报告人】 Zhao Yichuan 教授

Georgia State University, Atlanta

【时 间】 2018年05月17日（星期四）15:00-16:00

【地 点】 上海财经大学统计与管理学院大楼1208会议室

【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.The talk is based on joint work with Haitao Huang.