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

[21] A central limit theorem for Lebesgue integrals of random fields
Kampf, Juergen
STATISTICS & PROBABILITY LETTERS, 2017, 124 : 5 - 12
[22] On the Asymptotic Behavior in Random Fields: The Central Limit Theorem
Mohammad Mehdi Saber
Zohreh Shishebor
Behnam Amiri
Journal of Statistical Theory and Applications, 2019, 18 : 323 - 328
[23] On the Asymptotic Behavior in Random Fields: The Central Limit Theorem
Saber, Mohammad Mehdi
Shishebor, Zohreh
Amiri, Behnam
JOURNAL OF STATISTICAL THEORY AND APPLICATIONS, 2019, 18 (03): : 323 - 328
[24] CENTRAL LIMIT THEOREM FOR HOMOGENEOUS AND ISOTROPIC RANDOM FIELDS
LEONENKO, MM
YADRENKO, MI
DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1975, (04): : 314 - 316
[25] On the central limit theorem for nonuniform φ-mixing random fields
Maltz, AL
JOURNAL OF THEORETICAL PROBABILITY, 1999, 12 (03) : 643 - 660
[26] THE CENTRAL-LIMIT-THEOREM FOR RANDOM-FIELDS
JANZURA, M
KYBERNETIKA, 1994, 30 (01) : 77 - 86
[27] On the Central Limit Theorem for Nonuniform φ-Mixing Random Fields
Alberto L. Maltz
Journal of Theoretical Probability, 1999, 12 : 643 - 660
[28] FUNCTIONAL CENTRAL LIMIT THEOREM FOR STATIONARY RANDOM FIELDS
DEO, CM
ANNALS OF PROBABILITY, 1975, 3 (04): : 708 - 715
[29] CENTRAL LIMIT-THEOREM FOR A CLASS OF RANDOM FIELDS
LEONENKO, NN
JADRENKO, MI
DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1978, (12): : 1086 - 1088
[30] Functional central limit theorem for the volume of excursion sets generated by associated random fields
Meschenmoser, D.
Shashkin, A.
STATISTICS & PROBABILITY LETTERS, 2011, 81 (06) : 642 - 646

← 1 2 3 4 5 →