时 间🧑🔬：2024年11月15日14:00 - 15:00
地 点：普陀校区理科大楼A1514
报告人：韩潇中国科学技术大学管理光辉教授
主持人：马慧娟上海光辉平台娱乐副教授
摘 要💐：
In this paper, we introduce the Generalized Linear Spectral Statistics (GLSS) of a high-dimensional sample covariance matrix. The joint asymptotic normality of GLSS associated with different test functions is established when the dimension and the sample size are comparable under weak assumptions. Subsequently, we propose a novel functional projection approach based on GLSS for hypothesis testing on eigenspaces of population-spiked covariance matrices. The theoretical accuracy of our results established for GLSS and the advantages of the newly suggested testing procedure are demonstrated through various numerical studies.
报告人简介：
韩潇，中国科学技术大学管理光辉特任教授，研究方向为大维随机矩阵；高维统计推断，入选国家创新人才计划青年项目，主持青年基金项目与面上基金项目各一项