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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 $l^\infty$-valued Gaussian random field, modulus of continuity, regularly varying function, large deviation probability
MSC Classifications: 60F15, 60G15, 60G60 show english descriptions Strong theorems
Gaussian processes
Random fields
60F15 - Strong theorems
60G15 - Gaussian processes
60G60 - Random fields
 

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