【专家简介】:周望,2004年7月起在新加坡国立大学统计系任教,并于2009年1月获终身教授。现为新加坡国立大学教授,国际著名期刊Random Matrices-Theory and Applications的主编。主要研究方向为: High dimensional statistics,Random matrices, SLE,等。近年来发表有高水平论文九十多篇。 其中在概率统计学方面的国际公认的顶尖杂志Annals of Statistics, Journal of American Statistical Association, Biometrika, Annals of Probability, Probability Theory and Related Fields, Annals of Applied Probability上发表论文二十余篇。2005年起主持新加坡政府基金项目十余项。2012获国际统计学会当选成员(Elected Member of International Statistical Institute);2021年获国际数理统计学会(IMS)Fellow。
【报告摘要】:In this talk, I will discuss the central limit theorem (CLT) for the linear spectral statistics (LSS) of sample correlation matrix, constructed from a pxn data matrix X with independent and identically distributed entries having mean zero, variance one, and infinite fourth moments in the high-dimensional regime n/p tending to c in (0,infinity)\ (1). Especially a necessary and sufficient condition for the CLT is presented.
【报告时间】:2025年12月26日10:30-11:30
【报告地点】:位育楼417

