Abstract
When an admissible symmetric compound decision rule is applied to a sequence of simple hypothesis testing problems, the decisions are shown to exactly reflect the ordering of the component likelihood ratios. This leads to a characterization of admissible procedures which is closely related to the method ordinarily used in constructing compound decision rules. The extension to estimation problems is indicated.
Citation
J. B. Copas. "On Symmetric Compound Decision Rules for Dichotomies." Ann. Statist. 2 (1) 199 - 204, January, 1974. https://doi.org/10.1214/aos/1176342626
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