Optimum Partition Procedures for Separating Good and Bad Treatments
区分优劣处理的最优划分程序
This article considers partitioning a given set of competing treatments into two subsets with the purpose of separating good and bad treatments. (The qualities “good” and “bad” are defined in terms of the parameter vector of the underlying distribution family.) Regarding the probability of an incorrect partition, within the class of so-called natural procedures minimax solutions are derived under suitable distributional assumptions. These results extend previous…