Activity Number:
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56
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Type:
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Invited
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Date/Time:
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Monday, August 12, 2002 : 8:30 AM to 10:20 AM
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Sponsor:
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IMS
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Abstract - #300424 |
Title:
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Quadratic Loss Estimation: Problem Specific Markov Chain Conditions for Admissibility
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Author(s):
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Morris Eaton*+
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Affiliation(s):
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University of Minnesota
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Address:
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224 Church St SE Ste 367, Minneapolis, MN, 55455-0493,
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Keywords:
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Abstract:
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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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- The address information is for the authors that have a + after their name.
- Authors who are presenting talks have a * after their name.
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