How big are the $l^\infty$-valued random fields?

Hee-Jin Moon (Gyeongsang National University)
Chang-Ho Han (Gyeongsang National University)
Yong-Kab Choi (Gyeongsang National University)


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.

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Pages: 1-9

Publication Date: July 13, 2013

DOI: 10.1214/ECP.v18-2417


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