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Testing for changes using permutations of U-statistics. (English) Zbl 1087.62057
Summary: The critical values for various tests based on U-statistics to detect a possible change are obtained through permutations of the observations. We obtain the same approximations for the permutated U-statistics under the no change null hypothesis as well as under the exactly one change alternative. The results are used to show that the simulated critical values are asymptotically valid under the null hypothesis and the tests reject with probability tending to one under the alternative.

##### MSC:
 62G10 Nonparametric hypothesis testing 62H15 Hypothesis testing in multivariate analysis 62G09 Nonparametric statistical resampling methods
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##### References:
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