報告題目：A weighted method for the exclusive hypothesis test with application to typhoon data
報 告 人：童行偉 教授 北京師範大學
報告時間：2022年12月2日 9：00-10：00
報告地點：騰訊會議 ID：850-867-306 會議密碼：1202
校内聯系人：王培潔 wangpeijie@jlu.edu.cn
報告摘要： 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.
報告人簡介：童行偉，北京師範大學統計學院數理統計系主任、教授，博士生導師。主要從事生物統計，金融統計等方向的研究。中國現場統計研究會常務理事，概率統計學會常務理事,《應用概率統計》雜志編委；主持一項科技部重點研發計劃子課題，主持國家自然基金面上項目3項，教育部重大科研項目1項，目前發表學術論文近50篇。
