Open Access
2013 How big are the $l^\infty$-valued random fields?
Hee-Jin Moon, Chang-Ho Han, Yong-Kab Choi
Author Affiliations +
Electron. Commun. Probab. 18: 1-9 (2013). DOI: 10.1214/ECP.v18-2417

Abstract

In this paper we establish path properties and a generalized uniform law of the iterated logarithm (LIL) for strictly stationary and linearly positive quadrant dependent (LPQD) or linearly negative quadrant dependent (LNQD) random fields taking values in $l^\infty$-space.

Citation

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Hee-Jin Moon. Chang-Ho Han. Yong-Kab Choi. "How big are the $l^\infty$-valued random fields?." Electron. Commun. Probab. 18 1 - 9, 2013. https://doi.org/10.1214/ECP.v18-2417

Information

Accepted: 13 July 2013; Published: 2013
First available in Project Euclid: 7 June 2016

zbMATH: 1329.60141
MathSciNet: MR3084572
Digital Object Identifier: 10.1214/ECP.v18-2417

Subjects:
Primary: 60F10
Secondary: 60F15 , 60G17 , 60G60

Keywords: Law of the iterated logarithm , linearly negative quadrant dependence , linearly positive quadrant dependence , stationary random field

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