Abstract
Summary Let be k independent populations having the same known quantile of order p (0 p 1) and let F(x)=F(x/i) be the absolutely continuous cumulative distribution function of the ith population indexed by the scale parameter 1, i = 1,…, k. We propose subset selection procedures based on two-sample U-statistics for selecting a subset of k populations containing the one associated with the smallest scale parameter. These procedures are compared with the subset selection procedures based on two-sample linear rank statistics given by Gill & Mehta (1989) in the sense of Pitman asymptotic relative efficiency, with interesting results.
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