Title: On Construction of Optimal Exact Confidence Intervals

Speaker: Weizhen Wang（Wright State University）

Abstract: A general method, named the h-function method, is introduced to unify the constructions of level-αexact test and 1-α exact confidence interval. Using this method, any given confidence interval can be improved as follows: (i) an approximate interval, including a point estimator, is modified to an exact interval; (ii) an exact interval is refined to be an interval that is a subset of the previous one; (iii) two intervals, each utilizing partial data, are combined to form an exact interval that utilizes the complete data. Three real datasets, including Johnson & Johnson's Janssen vaccine (2021), are used to illustrate the method.

报告人简介：Weizhen Wang received his B.S. and M.S. at Peking University in 1987 and 1990, respectively, and completed his Ph.D. in Statistics at Cornell University in 1995. After one-year visit at Purdue

University, he joined Wright State University, and has been a Professor of Statistics since 2007. His research includes bioequivalence, exact parametric and nonparametric inference, saturated and adaptive designs, categorical data analysis, foundation of statistics, statistical computation, and clinical trial. His current primary interest is exact statistical inference and the implementation in R.

北京时间：2022年4月7日（周四）上午10:00—11：00
线上参加：#腾讯会议 453-512-017

联系人：胡涛
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