Exact Moment Convergence Rates of U-Statistics |
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Authors: | Ke-Ang Fu |
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Institution: | 1. School of Statistics and Mathematics , Zhejiang Gongshang University , Hangzhou , China statfu00@gmail.com |
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Abstract: | Let U n be a U-statistic based on a symmetric kernel h(x, y) and i.i.d. samples {X, X n ; n ≥ 1}. In this article, the exact moment convergence rates in the first moment of U n are obtained, which extend previous results concerning partial sums. |
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Keywords: | Moment convergence rates The law of the logarithm U-statistics |
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