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Simultaneous confidence intervals for comparing several exponential location parameters with a control. (English) Zbl 1325.62062
Summary: Two-sided simultaneous confidence intervals, on the lines of A. J. Hayter et al. [J. Stat. Plann. Inference 86, No. 1, 81–99 (2000; Zbl 0953.62068)], to compare \(k\) two-parameter exponential populations with a control population in terms of location parameters are proposed, which combine the advantages of one-sided simultaneous confidence intervals and two-sided simultaneous confidence intervals of E. Bofinger [Aust. J. Stat. 34, No. 1, 65–75 (1992; Zbl 0751.62008)]. The proposed two-sided simultaneous confidence intervals also maintain the inferential sensitivity of positive directional decision of one-sided simultaneous confidence intervals. Computation of the critical constants of the proposed procedure is discussed and selected critical constants are tabulated. Working and advantages of the proposed procedure are demonstrated with a numerical example.
MSC:
62F25 Parametric tolerance and confidence regions
62J15 Paired and multiple comparisons; multiple testing
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