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On Berry-Esséen rates for m-dependent U-statistics

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  • Wang, Qiying

Abstract

In this paper, we obtain the optimal rate of convergence in the central limit theorem for m-dependent U-statistics under mild conditions, which is similar to that in the independent rv's.

Suggested Citation

  • Wang, Qiying, 1999. "On Berry-Esséen rates for m-dependent U-statistics," Statistics & Probability Letters, Elsevier, vol. 41(2), pages 123-130, January.
    • Handle: RePEc:eee:stapro:v:41:y:1999:i:2:p:123-130
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    References listed on IDEAS

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    1. Su, Chun, 1987. "Some results on the Lp-convergence (p[greater-or-equal, slanted]1) of U-statistics," Computational Statistics & Data Analysis, Elsevier, vol. 5(4), pages 321-326, September.
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    Cited by:

    1. David Källberg & Nikolaj Leonenko & Oleg Seleznjev, 2014. "Statistical estimation of quadratic Rényi entropy for a stationary m -dependent sequence," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 26(2), pages 385-411, June.

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