This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.

Abstract Details

Activity Number: 440
Type: Invited
Date/Time: Wednesday, August 4, 2010 : 8:30 AM to 10:20 AM
Sponsor: General Methodology
Abstract - #306022
Title: On Estimation of Large Covariance Matrices
Author(s): Tony Cai*+
Companies: University of Pennsylvania
Address: 3730 Walnut St., Philadelphia, PA, 19104,
Keywords: covariance matrix ; high dimensional inference ; minimax lower bound ; optimal rate of convergence ; sparsity ; tapering
Abstract:

Estimation of large covariance matrices has drawn much recent attention. In this talk, I will discuss some new results on optimal rate of convergence for estimating covariance matrices in different settings. The results and the technical analysis show the connections to and distinctions from the more conventional function/sequence estimation problems. Moreover, the minimax behavior of the covariance matrix estimation problem critically depends on the norm under which the estimation error is measured.


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