Short Communications

The Anistropic Moduli of Continuity of Random Fields

E. I. Ostrovskii

Industrial Mathemathics Institute

Abstract: In this paper the anisotropic moduli of continuity of random fields, which satisfied the Cramér condition, are calculated. The exactness of obtained results applied for the derivation of the central limit theorem in Hölder spaces is shown in examples.

Keywords: random field, Banach spaces for random variables, metrical entropy, exponential estimator, anisotropic modulus of continuity.

Received: 07.04.1998
Revised: 17.06.2000

DOI: 10.4213/tvp4018

 English version: Theory of Probability and its Applications, 2002, 46:1, 161–167

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