B-值U统计量的尾概率及其收敛速度

Tail Probabilities and Its Convergence Rate for B-Valued U-Statistics

摘要: 假设B是可分巴氏空间,（S，S，P）是概率空间，H是从S^m到B的可测对称核函数。本文中研究了基于P和H的B－值U统计量U_mⁿH的尾概率。这可以看作相应的独立同分布结果的推广。

Abstract: Let B be separable Banach spaces, （S，S，P）a probalility measure spaces and H（x₁…,x_m）:S^m→B a measurable function symmetric in its arguments. In this paper we discuss tail probabilities for B-valued U-statistics U_mⁿHbased on P and H, which may be viewed as an extension of the corresponding i.i.d case.