ON BOUNDS IN LIMIT THEOREMS FOR SOME U-STATISTICS

被引：1
|
作者：
Yanushkevichiene, O. [1 ]
机构：
[1] Vilnius State Univ, Inst Math & Informat, LT-08663 Vilnius, Lithuania
来源：
THEORY OF PROBABILITY AND ITS APPLICATIONS | 2012年 / 56卷 / 04期
关键词：
second order U-statistic; limit distribution; Kolmogorov distance; Hilbert-Schmidt operator; eigenvalues;
D O I：
10.1137/S0040585X97985686
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We present the estimation of the convergence rate for the distribution of second order U-statistic associated with the Hilbert-Schmidt operator. We obtain this estimation in the Kolmogorov distance under some additional conditions.
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页码：660 / 673
页数：14
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