Journal of East China Normal University(Natural Sc ›› 2004, Vol. 2004 ›› Issue (1): 35-39.

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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

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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