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J. Korean Math. Soc. 2007; 44(6): 1441-1451

Printed November 1, 2007

Copyright © The Korean Mathematical Society.

A law of the iterated logarithm for $l^p$-valued Gaussian random fields

Yong-Kab Choi, Kyo-Shin Hwang, and Hee-Jin Moon

Gyeongsang National University, Gyeongsang National University, Gyeongsang National University

Abstract

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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

MSC numbers: 60F15, 60G15, 60G60

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