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Teoriya Veroyatnostei i ee Primeneniya, 2001, Volume 46, Issue 1, Pages 154–160
DOI: https://doi.org/10.4213/tvp4018 (Mi tvp4018) 		 
Short Communications

The Anistropic Moduli of Continuity of Random Fields

E. I. Ostrovskii

Industrial Mathemathics Institute
Full-text PDF (783 kB)
DOI: https://doi.org/10.4213/tvp4018
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
English version:
Theory of Probability and its Applications, 2002, Volume 46, Issue 1, Pages 161–167
DOI: https://doi.org/10.1137/S0040585X97978798
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: E. I. Ostrovskii, “The Anistropic Moduli of Continuity of Random Fields”, Teor. Veroyatnost. i Primenen., 46:1 (2001), 154–160; Theory Probab. Appl., 46:1 (2002), 161–167
Citation in format AMSBIB
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\transl
\jour Theory Probab. Appl.
\yr 2002
\vol 46
\issue 1
\pages 161--167
\crossref{https://doi.org/10.1137/S0040585X97978798}
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  • https://www.mathnet.ru/eng/tvp/v46/i1/p154
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