On the rate of convergence and asymptotic expansions for U-statistics under alternatives

被引：0

作者：

Bening V.E. ^{[1
]}

机构：

[1] Department of Computational Mathematics and Cybernetics, Moscow State University, vorob'Yovy Gory

来源：

Journal of Mathematical Sciences | 2000年 / 99卷 / 4期

关键词：

Distribution Function; Asymptotic Expansion; Stochastic Model; Asymptotic Distribution; Decision Theory;

D O I：

10.1007/BF02673715

中图分类号：

学科分类号：

摘要：

In this paper, we consider asymptotic expansions and the rate of convergence for the distribution function of asymptotically efficient U-statistics under alternatives in the one-sample problem. Section 1 is an introduction. Section S contains the theorem concerning the rate of convergence for U-statistics; in Sec. 3, we formulate sets of sufficient conditions under which Edgeworth-type asymptotic expansions for U-statistics under alternatives will be constructed (see Theorem 2). Finally, these theorems are proved in Sec. 4. © 2000 Kluwer Academic/Plenum Publishers.

引用

页码：1403 / 1407

页数：4

共 12 条

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