报告题目：Semiparametric Inference for the Functional Cox Model

主 讲 人：赵兴球教授（香港理工大学）

报告时间：2021年5月12日（周三）下午3:30—4:30

报告地点：腾讯会议ID：251 761 067

报告摘要：

We study penalized semiparametric maximum partial likelihood estimation and hypothesis testing for the functional Cox model in analyzing right-censored data with both functional and scalar predictors. Deriving the asymptotic joint distribution of finite-dimensional and infinite-dimensional estimators is a very challenging theoretical problem due to the complexity of semiparametric models. For the problem, we construct the Sobolev space equipped with a special inner product and discover a new joint Bahadur representation of estimators of unknown regression function and coefficients. Using this key tool, we establish the asymptotic joint normality of the proposed estimators and then construct a local confidence interval for an unknown slope function. Furthermore, we study a penalized partial likelihood ratio test, show that the test statistic enjoys the Wilks phenomenon, and also verify the optimality of the test. The theoretical results are examined through simulation studies, and a right-censored data example from the Improving Care of Acute Lung Injury Patients study is provided for illustration.

主讲人简介：

赵兴球，香港理工大学教授，应用数学系副系主任。于2008年获得加拿大麦克马斯特大学（McMaster University）的统计博士学位。研究领域包括生存分析，面板计数数据，纵向数据分析，复发事件数据，高维生存模型分析，半参数和非参数方法，大偏差和中偏差理论在生存模型中的应用。她在《The Annals of Statistics》，《Journal of the American Statistical Association》等统计领域的顶级期刊上发表了许多研究论文；获得了多项香港研究资助局基金和国家自然科学基金资助，2014年获得教育部高等学校科学研究优秀成果奖自然科学二等奖。她与合作者针对区间删失数据所构建的广义对数秩检验被享有盛誉的SAS软件系统于2010年收录；担任副编辑的杂志包括：Journal of Applied Statistics (2017年至今)，Communications in Statistics (2011年至今)等，还担任许多统计期刊包括统计4大权威期刊的审稿人。

邀请人：林路 严晓东

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