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
D. 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
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