A Central Limit Theorem for Random Fields of Negatively Associated Processes

被引：0

作者：

Ming Yuan

Chun Su

Taizhong Hu

机构：

[1] University of Wisconsin,Department of Statistics

[2] University of Science and Technology of China,Department of Statistics and Finance

来源：

Journal of Theoretical Probability | 2003年 / 16卷

关键词：

central limit theorem (CLT); random field; positive association; negative association;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A central limit theorem for negatively associated random fields is established under the fairly general conditions. We use the finite second moment condition instead of the finite (2+δ)th moment condition used by Roussas.(15) A similar result is also given for positively associated sequences.

引用

页码：309 / 323

页数：14

共 50 条

[1] A central limit theorem for random fields of negatively associated processes
Yuan, M
Su, C
Hu, TZ
[J]. JOURNAL OF THEORETICAL PROBABILITY, 2003, 16 (02) : 309 - 323
[2] A functional central limit theorem for asymptotically negatively dependent random fields
Zhang, LX
[J]. ACTA MATHEMATICA HUNGARICA, 2000, 86 (03) : 237 - 259
[3] A Functional Central Limit Theorem for Asymptotically Negatively Dependent Random Fields
L.-X. Zhang
[J]. Acta Mathematica Hungarica, 2000, 86 : 237 - 259
[4] Central limit theorem associated with bilinear random fields
Kharfouchi, Soumia
Kimouche, Karima
[J]. RANDOM OPERATORS AND STOCHASTIC EQUATIONS, 2011, 19 (02) : 157 - 163
[5] Central Limit Theorems for Asymptotically Negatively Associated Random Fields
Zhang L.
[J]. Acta Mathematica Sinica, 2000, 16 (4) : 691 - 710
[6] Central limit theorems for asymptotically negatively associated random fields
Zhang, LX
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2000, 16 (04): : 691 - 710
[7] Central Limit Theorems for Asymptotically Negatively Associated Random Fields
Lixin Zhang Department of Mathematics
[J]. Acta Mathematica Sinica,English Series, 2000, 16 (04) : 691 - 710
[8] A note on the almost sure central limit theorem for negatively associated fields
Wang, Jiang-Feng
Liang, Han-Ying
[J]. STATISTICS & PROBABILITY LETTERS, 2008, 78 (13) : 1964 - 1970
[9] CENTRAL LIMIT THEOREM FOR RANDOM FIELDS
BULINSKII, AV
ZHURBENKO, IG
[J]. DOKLADY AKADEMII NAUK SSSR, 1976, 226 (01): : 23 - 25
[10] Central Limit Theorem for Positively Associated Stationary Random Fields
Bulinski, A. V.
[J]. VESTNIK ST PETERSBURG UNIVERSITY-MATHEMATICS, 2011, 44 (02) : 89 - 96

← 1 2 3 4 5 →