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Journal Article

Multi-Stage Interval Estimations of the Largest Mean of k Normal Populations

Yung Liang Tong
Journal of the Royal Statistical Society. Series B (Methodological)
Vol. 32, No. 2 (1970), pp. 272-277
Stable URL: http://www.jstor.org/stable/2984533
Page Count: 6

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Abstract

We have k normal populations (k ⩾ 1) with means θ12,...,θk and a common unknown variance σ2. A fixed-width confidence interval for θ* = max1 ⩽ i ⩽ k θi is desired so that the coverage probability is at least γ (preassigned) for every θ = (θ12,⋯,θk) and $\sigma^2 > 0$. A class of multistage procedures is considered for the solution of this problem. It is shown that at least for k ⩽ 2, the efficiencies of those procedures are always less than one.

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