Almost Sure Asymptotics for Extremes of Non-stationary Gaussian Random Fields

被引：0

作者：

Zhongquan TAN ^{[1
,2
]}

Yuebao WANG ^{[1
]}

机构：

[1] School of Mathematical Sciences,Soochow University

[2] College of Mathematics,Physics and Information Engineering,Jiaxing University

来源：

Chinese Annals of Mathematics,Series B | 2014年 / 35卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Almost sure limit theorem; Extremes; Gaussian random fields; Non-stationary;

D O I：

暂无

中图分类号：

O211.6 [随机过程];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper,the authors prove an almost sure limit theorem for the maxima of non-stationary Gaussian random fields under some mild conditions related to the covariance functions of the Gaussian fields.As the by-products,the authors also obtain several weak convergence results which extended the existing results.

引用

页码：125 / 138

页数：14

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