Almost sure asymptotics for extremes of non-stationary Gaussian random fields

被引：10
作者：
Tan, Zhongquan [1 ,2 ]
Wang, Yuebao [1 ]
机构：
[1] Soochow Univ, Sch Math Sci, Suzhou 215006, Jiangsu, Peoples R China
[2] Jiaxing Univ, Coll Math Phys & Informat Engn, Jiaxing 314001, Zhejiang, Peoples R China
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; CENTRAL-LIMIT-THEOREM; CONVERGENCE;
D O I：
10.1007/s11401-013-0810-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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
收藏
页码：125 / 138
页数：14
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