报告题目： Generalized empirical likelihood inference in partial linear regression model for longitudinal data

报告人：    薛留根   教授

报告时间： 2018年12月18日（周二）16:00—18:00

报告地点： 威廉希尔学术报告厅

报告摘要: In this paper, empirical likelihood inference for longitudinal data within the framework of partial linear regression models are investigated. The proposed procedures take into consideration the correlation within groups without involving direct estimation of nuisance parameters in the correlation matrix. The empirical likelihood method is used to estimate the regression coefficients and the baseline function, and to construct confidence intervals. A nonparametric version of Wilk’s theorem for the limiting distribution of the empirical likelihood ratio is derived. Compared with methods based on normal approximations, the empirical likelihood does not require consistent estimators for the asymptotic variance and bias. The finite sample behaviour of the proposed method is evaluated with simulation and illustrated with an AIDS clinical trial data set.

报告人简介:  薛留根，教授，博士生导师，北京工业大学统计学一级学科博士点负责人。中国数学会概率统计学会常务理事，中国现场统计研究会理事及生存分析分会副理事长等。主持完成和在研的国家及省部级科研项目15项。出版著作8部（独著6部），其中3部专著。在Journal of the American Statistical Association、Journal of the Royal Statistical Society，Series B、Biometrika、 The Annals of Statistics等国内外学术期刊上发表学术论文200余篇，其中10篇代表性论文被SCI他引200余次，2篇属高被引论文。获教育部自然科学二等奖1项，获全国统计科学研究优秀成果奖一等奖和二等奖各1项。已招收研究生65人，其中博士研究生20人；指导的研究生中1人获北京市优秀博士学位论文及全国优秀博士学位论文提名奖，1人获全国统计科学研究优秀成果博士学位论文二等奖。

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                                                                                        威廉希尔

                                                                                      2018年11月27日