学术报告:A weighted method for the exclusive hypothesis test with application to typhoon data

审核发布:数学与信息学院 来源单位及审核人: 发布时间:2022-10-25浏览次数:10

报告人:童行伟教授 北京师范大学
时间:10月31日上午10点~11点
地点:数信学院数学系205

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 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 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教授,博士生导师,数理统计系系主任,广东省教育心理与大数据技术重点实验室主任。主要从事生物统计,金融统计等方向的研究。曾任中国现场统计研究会常务理事,概率统计学会常务理事;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SCI学术论文近50篇。

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