In the present paper, we are mainly interested in Cramér-type results for the weighted bootstrap of the U-statistics. The method of proof is based on the Hoeffding decomposition according to the bootstrapped Cramér transform together with the contraction technique. Finally, we investigate the U-statistics indexed by a one dimensional symmetric random walk.

中文翻译：

---

一些自举 U 统计量的 Cramér 类型结果

在本文中，我们主要对 U 统计的加权自举的 Cramér 型结果感兴趣。证明方法基于根据自举克拉默变换的 Hoeffding 分解和收缩技术。最后，我们研究了由一维对称随机游走索引的 U 统计量。