JSM 2011 Online Program

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Abstract Details

Activity Number: 213
Type: Invited
Date/Time: Monday, August 1, 2011 : 2:00 PM to 3:50 PM
Sponsor: IMS
Abstract - #300101
Title: Statistical Inference on Covariance Structure
Author(s): Tony Cai*+
Companies: University of Pennsylvania
Address: , , ,
Keywords: covariance matrix ; minimax rate of convergence ; optimal estimation ; hypothesis testing ; high-dimensional inference
Abstract:

Covariance structure is of fundamental importance in many areas of statistical inference and a wide range of applications. In the high dimensional setting where the dimension p can be much larger than the sample size n, classical methods and results based on fixed p and large n are no longer applicable. In this talk, I will discuss some new results on optimal estimation as well as testing the structure of large covariance matrices. The results and technical analysis reveal new features that are quite different from the conventional problems.


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