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

← 1 2 3 4 5 →