Ann. Statist. 10(3): 1025-1026 (September, 1982). DOI: 10.1214/aos/1176345895
Abstract
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.
Citation
Download CitationD. Blackwell. R. V. Ramamoorthi. "A Bayes but Not Classically Sufficient Statistic." Ann. Statist. 10 (3) 1025 - 1026, September, 1982. https://doi.org/10.1214/aos/1176345895
Information
Published: September, 1982
First available in Project Euclid: 12 April 2007
Digital Object Identifier: 10.1214/aos/1176345895
Subjects:
Primary: 62B20
Secondary: 62F15
Keywords: Bayes , Sufficient statistic
Rights: Copyright © 1982 Institute of Mathematical Statistics