
For the two-action two-state compound decision problem, a class of decision rules is found that are both asymptotically optimal and admissible at each stage $n$. These rules are Bayes rules with respect to appropriate exchangeable prior distributions.
Compound decision problem, asymptotically optimal Bayes decision rules, compound decision problem, two-action two-state case, exchangeable prior distributions, Bayesian problems; characterization of Bayes procedures, Compound decision problems in statistical decision theory, decision theory, admissibility, 62C15, exchangeable random variables, Admissibility in statistical decision theory, 62C25
Compound decision problem, asymptotically optimal Bayes decision rules, compound decision problem, two-action two-state case, exchangeable prior distributions, Bayesian problems; characterization of Bayes procedures, Compound decision problems in statistical decision theory, decision theory, admissibility, 62C15, exchangeable random variables, Admissibility in statistical decision theory, 62C25
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