华东师范大学学报(自然科学版) ›› 2004, Vol. 2004 ›› Issue (1): 35-39.

• 数学 统计学 • 上一篇    下一篇

反对称K-U统计量的渐近正态性

张日权1,2, 王静龙1   

  1. 1.华东师范大学 统计系，上海 200062; 2.雁北师范学院 数学系，山西 037000
  • 收稿日期:2002-04-23 修回日期:2003-06-04 出版日期:2004-03-25 发布日期:2004-03-25
  • 通讯作者: 张日权

Asymptotic Normality of Anti-symmetric K-U Statistic

ZHANG Ri-quan1,2, WANG Jing-long1   

  1. 1. Department of Statistics，East China Normal University，Shanghai 200062, China;2. Department of Mathematics，Yanbei Normal Colloge，Shanxi 037000, China
  • Received:2002-04-23 Revised:2003-06-04 Online:2004-03-25 Published:2004-03-25
  • Contact: ZHANG Ri-quan

摘要： 称Un=为反对称K-U统计量，其中h(x,y)=-h(y,x)为反对称函数。作者分别在k为任意常数以及k = O(ns)，其中0< s< 1/2时，证明了这类统计量的渐近正态性.

关键词: 反对称统计量, U统计量, 渐近正态性, 反对称统计量, U统计量, 渐近正态性

Abstract: In this paper, Un= is called the anti-symmetric K-U statistic, where h(x,y)=- h(y,x) is an anti-symmetric function. When k is a constant and k=O(ns) where
0<s<1/2，the asymptotic normality of the anti-symmetric K-U statistic will be established respectively.

Key words: U-Statistic, asymptotic normality, anti-symmetric statistic, U-Statistic, asymptotic normality

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