Functional Central Limit Theorem for Excursion set Volumes of Quasi-Associated Random Fields

被引：0

作者：

Demichev V.P. ^{[1
]}

机构：

[1] Moscow State University, Moscow

来源：

Journal of Mathematical Sciences | 2015年 / 204卷 / 1期

关键词：

Random Field; Central Limit Theorem; Functional Version; Lipschitz Continuous Function; Functional Central Limit Theorem;

D O I：

10.1007/s10958-014-2187-2

中图分类号：

学科分类号：

摘要：

Stationary quasi-associated random fields with continuous covariance function are considered. Recently, Bulinski, Spodarev, and Timmermann proved a central limit theorem for the excursion set volumes of such random fields. We establish a functional version of this theorem. Bibliography: 11 titles. © 2014, Springer Science+Business Media New York.

引用

页码：69 / 77

页数：8

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