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http://dx.doi.org/10.4134/JKMS.2007.44.6.1441

A LAW OF THE ITERATED LOGARITHM FOR lp-VALUED GAUSSIAN RANDOM FIELDS  

Choi, Yong-Kab (DEPARTMENT OF MATHEMATICS GYEONGSANG NATIONAL UNIVERSITY)
Hwang, Kyo-Shin (DEPARTMENT OF MATHEMATICS GYEONGSANG NATIONAL UNIVERSITY)
Moon, Hee-Jin (DEPARTMENT OF MATHEMATICS GYEONGSANG NATIONAL UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.44, no.6, 2007 , pp. 1441-1451 More about this Journal
Abstract
A general law of the iterated logarithm (LIL) is established for $l^p$-valued Gaussian random fields under explicit conditions.
Keywords
$l^p$-valued Gaussian random field; law of iterated logarithm; regularly varying function;
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