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Linear estimation and tests of quantiles of logistic distribution based on selected order statistics. (English) Zbl 0665.62032

Asymptotically best linear unbiased estimates (ABLUE) and tests of hypotheses on quantiles of the location-scale family of the logistic distribution are considered based on a few selected order statistics from a large sample. The optimum spacings, the coefficients and the ARE of ABLUE compared to maximum likelihood estimators are provided in tabular form for \(k=2(1)10\) and \(\xi =.01\),.05(.05).50. It is shown that the same spacings may be also used for testing and confidence intervals.

MSC:

62F12 Asymptotic properties of parametric estimators
62F03 Parametric hypothesis testing
62G10 Nonparametric hypothesis testing
62Q05 Statistical tables
62F25 Parametric tolerance and confidence regions
62G05 Nonparametric estimation
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