报告题目：A weighted method for the exclusive hypothesis test with application to typhoon data

报 告 人：童行伟 教授 北京师范大学

报告时间：2022年12月2日 9：00-10：00

报告地点：腾讯会议 ID：850-867-306 会议密码：1202

校内联系人：王培洁 wangpeijie@jlu.edu.cn

报告摘要： Motivated by the testing of genetic pleiotropy, we discuss a general class of hypothesis testing, the exclusive hypothesis test (EHT). A hypothesis test is an EHT if the null hypothesis can be divided into a set of exclusive sub-hypotheses, and a main difficulty for testing an EHT is the calculation of the p-value. To address this problem, we propose a weighted procedure and develop two methods, one likelihood-based and the other Bayesian information criterion (BIC)-based, for determining the corresponding weights.Furthermore, we show that the BIC-based method can control the asymptotic type I error. We conduct an extensive simulation study of these two proposed methods, which suggests that they work well in practice. In particular, the new procedure is shown both theoretically and numerically to exhibit better performance than the existing two-stage decision rule for testing genetic pleiotropy. Our proposed methodology is then applied to a set of data concerning tropical storms.

报告人简介：童行伟，北京师范大学统计学院数理统计系主任、教授，博士生导师。主要从事生物统计，金融统计等方向的研究。中国现场统计研究会常务理事，概率统计学会常务理事,《应用概率统计》杂志编委；主持一项科技部重点研发计划子课题，主持国家自然基金面上项目3项，教育部重大科研项目1项，目前发表学术论文近50篇。