报告题目：Power-enhanced projection test for high-dimensional mean vectors

报告摘要：The projection test has been widely researched and applied as an effective path to solve the high-dimensional mean vector test problem. In this paper, for the problem of compensating the computational difficulty of the power loss method in the high-dimensional case due to the data splitting procedure, we propose a method called power enhanced projection test (PPT), which adds an extra power-enhancement term to the original projection test statistic to make up for the lost power, and thus does not have to estimate the optimal projection method multiple times. Theoretically we show that this term is asymptotically zero under the null hypothesis and therefore does not affect the control of Type I errors. The conclusions are verified in numerical studies.

报告人简介：陈夏，陕西师范大学教授、博士生导师，数学与统计学院副院长。兼任陕西省统计学学会副理事长、中国现场统计研究会多个分会的常务理事或理事。主要从事高维数据统计分析和概率极限理论方面的研究。在国内外期刊发表学术论文40余篇，在科学出版社出版专著1部、教材1部。主持国家自然科学基金重点项目子课题、国家自然科学基金、教育部人文社科基金和陕西省自然科学基金等国家级和省部级项目多项。曾获陕西省高等教育优秀教材一等奖、陕西省学位与研究生教育成果奖一等奖和陕西高校科学技术奖二等奖。

报告时间：2024年4月25日(周四)16:30-18:00

报告地点：同析4号楼数学学院308教室