報告題目：Post-selection inference of high-dimensional logistic regression under case-control design
報 告 人：唐年勝 教授
所在單位：雲南大學
報告時間：2022年12月1日 14:00-15:00
報告地點：騰訊會議：407-624-064
點擊鍊接入會：https://meeting.tencent.com/dm/Jiw5BtSObv1C
校内聯系人：劉天慶 tqliu@jlu.edu.cn
報告摘要：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 regularity conditions. Furthermore, statistical tests for testing more general and complex hypotheses of the high-dimensional parameters are studied. The general testing procedures are proved to be asymptotically exact and has satisfactory power. Numerical studies including extensive simulations and a real data example confirm that the proposed method performs well in practical settings.
報告人簡介： 雲南大學數學與統計學院教授，博士生導師，院長。“國家傑出青年科學基金”獲得者，教育部“長江學者特聘教授”，教育部“新世紀優秀人才支持計劃”入選者，國家百千萬人才工程暨有突出貢獻中青年專家，享受國務院政府特殊津貼。國際統計學會推選會員，國際數理統計學會會士（IMS Fellow）。雲南省科技領軍人才，雲南省高等學校教學名師。現兼任教育部高等學校統計學類教學指導委員會委員、中國統計學會常務理事、中國現場統計研究會副理事長、中國現場統計研究會資源與環境統計分會副理事長、中國現場統計研究會高維數據統計分會副理事長；Statistics and Its Interface、Communications in Mathematics and Statistics 等10餘個雜志的編委或副主編。在JASA、Annals of Statistics、Biometrika、Journal of Econometrics、JMLR等學術期刊發表論文190餘篇；出版學術專著5部、譯著2部、教材1部。
