【学术讲堂】 数理统计:Post-selection inference of high-dimensional logistic regression under case-control design

发布者:统计与数据科学学院发布时间:2022-12-15浏览次数:10

【专家简介】 唐年胜,云南大学教授,博士生导师,云南大学数学与统计学院院长。“国家杰出青年科学基金”获得者,教育部“长江学者”特聘教授,教育部“新世纪优秀人才”,国家百千万人才工程暨有突出贡献中青年科学家,享受国务院特殊津贴。国际数理统计学会会士、国际统计学会推荐会员,Annals of  StatisticsJournal of the American Statistical AssociationBiometrika、《中国科学》等国内外学术期刊发表论文170余篇,出版专著4部。

 

【报告摘要】Confidence sets are of key importance in high dimensional statistical inference. Under case-control study, a popular response-selective sampling design in medical study or econometrics, we consider the confidence intervals and statistical tests for single or low-dimensional parameters in high-dimensional logistic regression model. The asymptotic properties of the resulting estimators are established under mild conditions. We also study statistical tests for testing more general and complex hypotheses of the high-dimensional parameters. The general testing procedures are proved to be asymptotically exact and have satisfactory power. Numerical studies including extensive simulations and a real data example confirm that the proposed method performs well in practical settings.

 

腾讯会议号:363-752-347

 

   间:20221220日(星期二) 下午 14:00