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On the Durbin large deviations for testing the uniformity on a square. (Russian. English summary) Zbl 0549.62016

Summary: We obtain rough asymptotics for the probabilities of large deviations of the so-called Durbin statistic for testing uniformity on the square. This result may be used for evaluating the Bahadur efficiency.

MSC:

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