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Berry-Esseen type estimations for multi-sample \(U\)-statistics. (Russian, English) Zbl 1100.62053
Zap. Nauchn. Semin. POMI 328, 69-90 (2005); translation in J. Math. Sci., New York 139, No. 3, 6535-6547 (2006).
Summary: The rate of convergence in the central limit theorern for nondegenerate multi-sample \(U\)-statistics of series of independent samples of independent random variables is investigated under minimal sufficient moment conditions on canonical functions of the Hoeffding representation.
MSC:
62G20 Asymptotic properties of nonparametric inference
60F05 Central limit and other weak theorems
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