Large deviations of U-empirical Kolmogorov-Smirnov tests, and their efficiency

Details Large deviations of U-empirical Kolmogorov-Smirnov tests, and their efficiency Large deviations of U-empirical Kolmogorov-Smirnov tests, and their efficiency

2009-06-02

arxiv.org/abs/0906.0428v1

Mathematics

Probability

24 pages, 1 figure

Scientific paper

Non-degenerate U-empirical Kolmogorov-Smirnov tests are studied and their
large deviation asymptotics under the null-hypothesis is described. Several
examples of such statistics used for testing goodness-of-fit and symmetry are
considered. It is shown how to calculate their local Bahadur efficiency.

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