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Sample size savings for curtailed one-sample nonparametric tests for location shift. (English) Zbl 0646.62037

A curtailed version of a one-sided nonparametric test for symmetry is considered. Asymptotic moments of normed sample size savings are derived for the test under the null hypothesis and contiguous alternatives.
It is also shown that under some conditions the normed sample size savings have an asymptotic truncated normal distribution for many of the nonparametric tests under consideration including the Wilcoxon and van der Waerden tests.
Reviewer: J.Bartoszewicz

MSC:

62G10 Nonparametric hypothesis testing
62E20 Asymptotic distribution theory in statistics
60F10 Large deviations
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