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# Asymptotic Properties for Increments of $l^{\infty}$-Valued Gaussian Random Fields

Published:2008-04-01
Printed: Apr 2008
• Yong-Kab Choi
• Miklós Csörg\H o
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## Abstract

This paper establishes general theorems which contain both moduli of continuity and large incremental results for $l^\infty$-valued Gaussian random fields indexed by a multidimensional parameter under explicit conditions.
 Keywords: $l^\infty$-valued Gaussian random field, modulus of continuity, regularly varying function, large deviation probability
 MSC Classifications: 60F15 - Strong theorems 60G15 - Gaussian processes 60G60 - Random fields