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Statistica Sinica 7(1997), 1039-1051



H. K. Hsieh

University of Massachusetts at Amherst

Abstract: Using a conditional method, explicit formulae for computing quantiles pertinent to prediction intervals for future Weibull order statistics are developed for two cases: when only previous independent failure data are available, and when both previous independent failure data and early-failure data in current experiment are available. The second case includes the case when only current early-failure data are available. Comparisons of interval widths are made for different estimators of parameters and different ways of forming prediction intervals.

Key words and phrases: Ancillaries, BLIE, conditional method, equivariant statistic, extreme value distribution, k-out-of-n:F system, MLE, Type II censored data.

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