JSM 2005 - Toronto

Abstract #303788

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 314
Type: Topic Contributed
Date/Time: Tuesday, August 9, 2005 : 2:00 PM to 3:50 PM
Sponsor: Section on Bayesian Statistical Science
Abstract - #303788
Title: Shrinkage Estimation of Multivariate Normal Mean under Hellinger Loss
Author(s): Victor Mergel*+ and Malay Ghosh
Companies: University of Florida and University of Florida
Address: 329 University VLG apt 3, Gainesville, FL, 32603, United States
Keywords: shrinkage estimator ; minimaxity ; admissibility ; hellinger loss
Abstract:

We consider estimation of the multivariate normal mean under Hellinger loss. It is shown that in this setting, Stein effect is present and shrinkage estimator dominates MLE in three or higher dimensions. We study minimaxity and admissibility properties of shrinkage estimators.


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Revised March 2005