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COLT
2005
Springer

Localized Upper and Lower Bounds for Some Estimation Problems

13 years 10 months ago
Localized Upper and Lower Bounds for Some Estimation Problems
Abstract. We derive upper and lower bounds for some statistical estimation problems. The upper bounds are established for the Gibbs algorithm. The lower bounds, applicable for all statistical estimators, match the obtained upper bounds for various problems. Moreover, our framework can be regarded as a natural generalization of the standard minimax framework, in that we allow the performance of the estimator to vary for different possible underlying distributions according to a pre-defined prior.
Tong Zhang
Added 26 Jun 2010
Updated 26 Jun 2010
Type Conference
Year 2005
Where COLT
Authors Tong Zhang
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