摘要
本文建立了有限总体U-统计量正态逼近的非一致性界限。本文分成两部分。在部分(Ⅰ),我们对有限总体抽样的部分和建立了一个类似的结果和六个引理(见本刊1989,Vol.19,No.1,PP.25-37)。在这一部分,即部分(Ⅱ),我们将完成关于有限总体U-统计量的这一定理的证明。
In this paper, we establish the non-uniform bounds of normal appro-ximation for finite-population U-statistics. This paper is divided into twoparts. In part (I), we established a similar result for the partial sumin the case of sampling from a finite population and six lemmas (Seethis Journal, 1989, Vol. 19, No. 1, pp. 25-37). In this part, part (Ⅱ),we finish the proof of the theorem for finite-population U-statistics.
基金
The Project is Supported by the National Natural Science Foundation of China
关键词
有限总体
正态逼近
抽样
U-统计量
finite population
normal approximation
sampling
U-statistic
