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How big are the $$l^\infty$$-valued random fields? (English) Zbl 1329.60141
Summary: 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.
##### MSC:
 60G60 Random fields 60F15 Strong limit theorems 60F10 Large deviations 60G17 Sample path properties
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