×

zbMATH — the first resource for mathematics

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
PDF BibTeX XML Cite
Full Text: DOI