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The Berry-Esseen bound for studentized U-statistics

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Abstract

We establish the Berry-Esseen bound O(n/2) for a studentized U-statistic under the assumption of existence of the (2+)-th moment.

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang University, 310028, Hangzhou, China

    Zhengyan Lin

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  1. Zhengyan Lin
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Correspondence to Zhengyan Lin.

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Lin, Z. The Berry-Esseen bound for studentized U-statistics. Sci. China Ser. A-Math. 43, 1154–1163 (2000). https://doi.org/10.1007/BF02872193

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  • DOI: https://doi.org/10.1007/BF02872193

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