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

共 11 条

[1]

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[2]

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[3]

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[4]

Bulinski A.V., Spodarev E., Timmermann F., Central limit theorems for the excursion set volumes of weakly dependent random fields, Bernoulli, 18, pp. 100-118, (2012)

[5]

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[6]

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[7]

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[8]

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[9]

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[10]

Bulinskii A.V., Shashkin A.P., Limit Theorems for Associated Random Fields and Related Systems [in Russian], Moscow, (2008)

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