Abstract #300424


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JSM 2002 Abstract #300424
Activity Number: 56
Type: Invited
Date/Time: Monday, August 12, 2002 : 8:30 AM to 10:20 AM
Sponsor: IMS
Abstract - #300424
Title: Quadratic Loss Estimation: Problem Specific Markov Chain Conditions for Admissibility
Author(s): Morris Eaton*+
Affiliation(s): University of Minnesota
Address: 224 Church St SE Ste 367, Minneapolis, MN, 55455-0493,
Keywords:
Abstract:

For a quadratic loss estimation problem, formal Bayes estimators are considered. A natural symmetric Markov chain is associated with the estimation problem. The recurrence of the Markov chain implies the admissibility of the formal Bayes estimator. This argument produces a relatively simple proof that the Pitman estimator for a translation parameter in one and two dimensions is admissible, a result first established by Stein. Other applications will be given.


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