Maximal inequality for weakly dependent random fields

被引：2

作者：

Shashkin, AP ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow 117234, Russia

来源：

MATHEMATICAL NOTES | 2004年 / 75卷 / 5-6期

关键词：

weakly dependent random field; maximal inequality; indexing set; Lipschitz function; Cauchy-Schwarz-Bunyakovskii inequality;

D O I：

10.1023/B:MATN.0000030979.18805.3d

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain a maximal inequality for weakly dependent random fields associated with decreasing covariances of functions (of a certain class) of elements of the field as the distance between the indexing sets tends to infinity.

引用

页码：717 / 725

页数：9

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