反对称K-U统计量的渐近正态性

Asymptotic Normality of Anti-symmetric K-U Statistic

称为反对称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(nδ),其中0<δ<1/2时,证明了这类统计量的渐近正态性。

In this paper,is called the anti-symmetric K-U statistic, whereh(x,y) = - h(y,x) is an anti-symmetric function. Whenk is & constant and k = O(nδ) where 0<δ<1/2, the asymptotic normality of the anti-symmetric K-U statistic will be established respectively.