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- W2000293011 abstract "SYNOPTIC ABSTRACTIn this paper it is shown that the Heteroscedastic Method II based on Healy's two-stage sampling is more economical than the original HM with Chatterjee's two-stage sampling in simultaneous inference for k mean vectors of Np (μj, Σj)j = 1, …, k, Σj's being completely unknown (hence possibly unequal). We provide, by using each procedure, sets of simultaneous confidence intervals on trA′M, A ε such that trA′A = 1, M = [μ1,…,μk] for: (i) any A, (ii)A 1 = 0, and (iii)A1 = 0,A′1 = 0, where 1 = (1, …, 1)′. Each set meets requirements of prespecified common length and a prespecified simultaneous confidence coefficient. We derive an asymptotic expansion formula for the upper percentile point of the statistic in the formulation for each set; this determines the total sample size for each set to satisfy the requirements. It is verified that HM-II has smaller sample sizes than does HM, and yet meets the same requirements in the heteroscedastic simultaneous inference even if the initial sample size is finite." @default.
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- W2000293011 date "1994-02-01" @default.
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- W2000293011 title "In Heteroscedastic Simultaneous Inference, the Heteroscedastic Method II (Based on Healy's Two-Stage Sampling) is more Economical than the Original HM (Which is Based on Chatterjee's Sampling)" @default.
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- W2000293011 doi "https://doi.org/10.1080/01966324.1994.10737376" @default.
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