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

Choi, Yong-Kab ; Csörgő, Miklós

Canadian journal of mathematics, Tome 60 (2008) no. 2, pp. 313-333

Résumé

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.

Détail

DOI : 10.4153/CJM-2008-015-4

Mots-clés : 60F15, 60G15, 60G60, l ∞-valued Gaussian randomfield, modulus of continuity, regularly varying function, large deviation probability

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