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【系综合学术报告】2024年第20期 || Introduction to the General h-Function Method and Its Applications

报告题目Introduction to the General h-Function Method and Its Applications

报告人Professor Weizhen Wang Wright State University

时间66日(周四)上午10:00-11:30              地点:理科楼304

报告摘要A method named the h-function method is introduced to unify the constructions of the level-αexact test and the 1-α exact confidence interval. The latter has the infimum coverage probability over the entire parameter space no less than 1-α, thus assuring reliable inference. 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 a sub-interval of the previous one. Various applications of this method will be discussed. Senior students in Statistics have the background to access these topics.

报告人简介Weizhen Wang received his Ph.D. in Statistics from Cornell University in 1995. He has been Professor of Statistics at Wright State University since 2007. His research includes bioequivalence, exact parametric and nonparametric inferences, saturated and adaptive designs, categorical data analysis, the foundation of statistics, statistical computation, and clinical trials. His current primary interest is exact statistical inference and its implementation in R.