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Activity Number: 361
Type: Contributed
Date/Time: Tuesday, August 6, 2013 : 10:30 AM to 12:20 PM
Sponsor: IMS
Abstract - #308238
Title: Adaptive Threshold Estimation by FDR
Author(s): Wenhua Jiang*+ and Cun-Hui Zhang
Companies: Soochow University and Rutgers University
Keywords: threshold estimation ; FDR ; adaptive minimaxity ; soft threshold ; compound estimation
Abstract:

We consider the problem of estimating a vector with iid normal errors under the squared loss. The main result is that the soft-threshold estimator with an FDR threshold level attains the minimum loss among all soft threshold estimators with a small regret for a wide class of vectors, including vectors with an l_p norm of the order O(log log log n).


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