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,分成两部分。在这一部分,即部分(Ⅰ),作为一个预备定理,我们对有限总体抽样的部分和建立了一个类似的结果。在下期出版的部分(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 approxi-mation for finite-population U-statistics. This paper is divided into twoparts. In this part (part I), as a preliminary theorem, we establish a si-milar result for the partial sum in the case of sampling from a finitepopulation. In part Ⅱ, which will appear in the next issue, we will com-plete the proof of the theorem for finite-population U-statistics.
基金
The Project Supported by National Natural Science Foundation of China
关键词
有限总体
正态逼近
U-统计量
抽样
finite population
normal approximation
sampling
U-statistic
