Summary
The problem of selecting thet best amongk populations is considered. The concept of ψ-correct selection is defined and it is shown that the indifference zone approach is consistent in the following sense. The minimum probability of ψ-correct selection over the entire parameter space is no less than the minimum probability of correct selection over the preference zone.
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Feigin, P.D., Weissman, I. On the indifference zone approach to selection—A consistency result. Ann Inst Stat Math 33, 471–474 (1981). https://doi.org/10.1007/BF02480957
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DOI: https://doi.org/10.1007/BF02480957