Strong laws for blockwise M-dependent random fields

被引：20

作者：

Moricz, Ferenc ^{[2
]}

Stadtmueller, Ulrich ^{[1
]}

Thalmaier, Monika ^{[1
]}

机构：

[1] Univ Ulm, Inst Number Theor & Probabil Theor, D-89069 Ulm, Germany

[2] Univ Szeged, Bolyai Inst, H-6720 Szeged, Hungary

来源：

JOURNAL OF THEORETICAL PROBABILITY | 2008年 / 21卷 / 03期

关键词：

random fields; strong laws; M-dependence; blockwise summability;

D O I：

10.1007/s10959-007-0127-5

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 consider random fields and introduce a concept of M-dependence for random fields. Using a lemma from summability theory we prove strong laws of large numbers for blockwise M-dependent random fields under various moment conditions, thereby generalizing some results in the literature from independent random fields.

引用

页码：660 / 671

页数：12

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