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

假设B是可分巴氏空间，（S，S，P）是概率空间，H是从Sm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H的尾概率．这可以看作相应的独立同分布结果的推广．

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