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

作　　者：王芳[1] 杨小云[1] 

机构地区：[1]吉林大学数学系,长春130023

出　　处：《应用概率统计》1998年第4期435-444,共10页Chinese Journal of Applied Probability and Statistics

摘　　要：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.

关 键 词：U-统计量 尾概率 收敛速度 极限 B值U统计量 

分 类 号：O211.4[理学—概率论与数理统计]