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

Abstract Details

Activity Number: 305
Type: Contributed
Date/Time: Tuesday, August 3, 2010 : 8:30 AM to 10:20 AM
Sponsor: Section on Nonparametric Statistics
Abstract - #308286
Title: Improved Minimax Lower Bound for Sparse Approximation Sets
Author(s): Kyoung Hee Kim*+ and Harrison Huibin Zhou
Companies: Yale University and Yale University
Address: , New Haven, CT, 06520,
Keywords: Minimax lower bound ; Sparsity ; Approximation sets ; Assouad's lemma
Abstract:

Minimax rates of convergence reveal a complexity in a worst case for the statistical model that we are concerned with. Sparsity is the main interest in our model. Gaussian sequence and sparse approximation sets, each having a sparse property are considered. We obtain optimal rates of convergence using a new lower bound argument.


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