The convergence rates of the weighted bootstrap distributions for von Mises and -statistics

Shuran Zhao, Xingzhong Xu and Xiaobo Ding

Journal of Nonparametric Statistics, 2008, vol. 20, issue 7, 645-660

Abstract: It has been proved that the weighted bootstrap method for von Mises and U-statistics provides a feasible approximation to their sample distributions. In the paper, based on a variation of the Berry-Esseen theorem for U-statistics, we further develop such first-order convergence rate under weak conditions. Moreover, in view of maximum entropy, we provide a principle to choose the weights.

Date: 2008
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DOI: 10.1080/10485250802280259

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