Abstract
AbstractConsider k independent exponential populations with location parameters μ1,…, μk and a common scale parameter or standard deviation θ. Let μ(k) be the largest of the μ's and define a population to be good if its location parameter exceeds μ(k) –Δ1. A selection procedure is proposed to select a subset of the k populations which includes the good populations with probability at least P*, a pre‐assigned value. Simultaneous confidence intervals, that can be derived with the proposed selection procedure, are discussed. Moreover, if populations with locations below μ(k) –δ2, (δ2 > δ1) are “bad”, a selection procedure is proposed and a sample size is determined so that the probability of omitting a “good” population or selecting a “bad” population is at most 1 – P*.
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