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January, 1977 Complete Class Theorems for the Simplest Empirical Bayes Decision Problems
Tom Snijders
Ann. Statist. 5(1): 164-171 (January, 1977). DOI: 10.1214/aos/1176343749


For the problem of empirical Bayes classification into two known probability distributions on a finite outcome space, an essentially complete class of procedures is determined. This class is proven to be minimal essentially complete if there are only two possible outcomes.


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Tom Snijders. "Complete Class Theorems for the Simplest Empirical Bayes Decision Problems." Ann. Statist. 5 (1) 164 - 171, January, 1977.


Published: January, 1977
First available in Project Euclid: 12 April 2007

zbMATH: 0363.62008
MathSciNet: MR438541
Digital Object Identifier: 10.1214/aos/1176343749

Primary: 62C07
Secondary: 62C10 , 62F05

Keywords: complete class , Empirical Bayes classification , monotone procedures

Rights: Copyright © 1977 Institute of Mathematical Statistics

Vol.5 • No. 1 • January, 1977
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