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Confidence intervals for ranked means

Edward J. Dudewicz

Naval Research Logistics Quarterly, 1970, vol. 17, issue 1, 69-78

Abstract: Suppose that observations from populations π1, …, πk (k ≥ 1) are normally distributed with unknown means μ1., μk, respectively, and a common known variance σ2. Let μ[1] μ … ≤ μ[k] denote the ranked means. We take n independent observations from each population, denote the sample mean of the n observation from π1 by Xi (i = 1, …, k), and define the ranked sample means X[1] ≤ … ≤ X[k]. The problem of confidence interval estimation of μ(1), …,μ[k] is stated and related to previous work (Section 1). The following results are obtained (Section 2). For i = 1, …, k and any γ(0

Date: 1970
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https://doi.org/10.1002/nav.3800170106

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