A berry-esseen bound for U-statistics

被引：0

作者：

Gadasina L.V. ^{[1
]}

机构：

[1] St. Petersburg State University of Means of Communication, St. Petersburg

来源：

Journal of Mathematical Sciences | 2005年 / 128卷 / 1期

关键词：

Limit Theorem; Central Limit; Central Limit Theorem; Independent Random Variable; Moment Condition;

D O I：

10.1007/s10958-005-0200-5

中图分类号：

学科分类号：

摘要：

The rate of convergence in the central limit theorem for nondegenerate U-statistics of n independent random variables is investigated under minimal sufficient moment conditions on canonical functions of the Hoeffding representation. Bibliography: 12 titles. ©2005 Springer Science+Business Media, Inc.

引用

页码：2522 / 2537

页数：15

共 50 条

[1] THE BERRY-ESSEEN BOUND FOR STUDENTIZED U-STATISTICS
HELMERS, R
CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 1985, 13 (01): : 79 - 82
[2] The Berry-Esseen bound for studentized U-statistics
Lin, ZY
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2000, 43 (11): : 1154 - 1163
[3] The Berry-Esseen bound for studentized U-statistics
林正炎
Science China Mathematics, 2000, (11) : 1154 - 1163
[4] The Berry-Esseen bound for studentized U-statistics
Zhengyan Lin
Science in China Series A: Mathematics, 2000, 43 : 1154 - 1163
[5] BERRY-ESSEEN THEOREM FOR U-STATISTICS
CALLAERT, H
JANSSEN, P
ANNALS OF STATISTICS, 1978, 6 (02): : 417 - 421
[6] Berry-Esseen inequalities for U-statistics
Gadasina, LV
THEORY OF PROBABILITY AND ITS APPLICATIONS, 2003, 48 (01) : 147 - 152
[7] Non-uniform Berry-Esseen bound for U-statistics
Wang, QY
STATISTICA SINICA, 2002, 12 (04) : 1157 - 1169
[8] BERRY-ESSEEN THEOREM FOR U-STATISTICS
CHAN, YK
WIERMAN, J
ANNALS OF PROBABILITY, 1977, 5 (01): : 136 - 139
[9] BERRY-ESSEEN BOUNDS FOR FUNCTIONALS OF U-STATISTICS
GHOSH, M
SANKHYA-THE INDIAN JOURNAL OF STATISTICS SERIES A, 1985, 47 (JUN): : 255 - 270
[10] ON THE BERRY-ESSEEN THEOREM FOR RANDOM U-STATISTICS
AHMAD, IA
ANNALS OF STATISTICS, 1980, 8 (06): : 1395 - 1398

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