时间：2022.5.16 10:30-11:30
地点：腾讯会议 63 171 858
题目：Density ratio model and its new applications
报告人：李鹏飞 滑铁卢大学教授
主持人：刘玉坤 华东师范大学 教授
摘要：The semiparametric densityratio model (DRM) is a flexible platform for combining information frommultiple sources, and it permits elegant inference solutions through theempirical likelihood (EL). This talk discusses our recent contributions to theDRM. In the first part, we consider statistical inference under two-sample DRMswith additional parameters defined through and/or additional auxiliaryinformation expressed as estimating equations. We examine the asymptoticproperties of the maximum empirical likelihood estimators (MELEs) of theunknown parameters in the DRMs and/or defined through estimating equations andestablish the chi-square limiting distributions for the empirical likelihoodratio (ELR) statistics. We also propose an ELR test for the validity andusefulness of the auxiliary information. In the second part, we discussed theapplications of the DRM in unordered homologous chromosome pairs problem,quantile inference for clustered data, and inference of the Youden index andthe optimal cut-off point.
报告人简介：Dr. Pengfei Li completedhis Ph.D in Dec. 2007 from University of Waterloo and postdoctoral studies fromUniversity of British Columbia in 2008. He is Professor at University ofWaterloo since 2019. Dr. Li has around 70 journal publications and 2 bookchapters. Of these, 18 appeared in Annals of Statistics, Biometrika,Biometrics, Journal of the American Statistical Association, and Journal of theRoyal Statistical Society: Series B. Dr. Li has served as the associate chairfor Undergraduate Studies for two years at the University of Waterloo. He hasreceived the Faculty of Mathematics Award for Distinction in Teaching in 2017and Faculty of Mathematics Golden Jubilee Research Excellence Award in2020. He became an IMS fellow andreceived the CRM-SSC Prize in Statistics in 2022.