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September, 1982 A Bayes but Not Classically Sufficient Statistic
D. Blackwell, R. V. Ramamoorthi
Ann. Statist. 10(3): 1025-1026 (September, 1982). DOI: 10.1214/aos/1176345895


In a Borel setting, every classically sufficient statistic is Bayes sufficient, but not vice versa. The example is a hypothesis testing problem in which Bayesians, but not classicists, can achieve zero error probabilities.


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D. Blackwell. R. V. Ramamoorthi. "A Bayes but Not Classically Sufficient Statistic." Ann. Statist. 10 (3) 1025 - 1026, September, 1982.


Published: September, 1982
First available in Project Euclid: 12 April 2007

zbMATH: 0485.62004
MathSciNet: MR663456
Digital Object Identifier: 10.1214/aos/1176345895

Primary: 62B20
Secondary: 62F15

Keywords: Bayes , Sufficient statistic

Rights: Copyright © 1982 Institute of Mathematical Statistics

Vol.10 • No. 3 • September, 1982
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