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Teoriya Veroyatnostei i ee Primeneniya, 1996, Volume 41, Issue 4, Pages 755–764
DOI: https://doi.org/10.4213/tvp3200 (Mi tvp3200) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Local and global upper functions for random fields

S. A. Egishyants, E. I. Ostrovskiia

a Obninsk Institute for Nuclear Power Engineering
Full-text PDF (453 kB) Citations (4)
DOI: https://doi.org/10.4213/tvp3200
Abstract: We introduce and calculate the local and global upper functions for arbitrary, i.e., not necessarily Gaussian, random fields. Only the Cramer condition is assumed to be fulfilled for the fields under consideration. Despite the generality we show by examples that the results obtained are precise for the Gaussian fields studied earlier. Possible applications are described.
Keywords: random field, local and global modules of continuity, Young–Fenchel transform, metric entropy, exponential estimate.
Received: 14.04.1993
English version:
Theory of Probability and its Applications, 1997, Volume 41, Issue 4, Pages 657–665
DOI: https://doi.org/10.1137/S0040585X9797568X
Bibliographic databases:
Language: Russian
Citation: S. A. Egishyants, E. I. Ostrovskii, “Local and global upper functions for random fields”, Teor. Veroyatnost. i Primenen., 41:4 (1996), 755–764; Theory Probab. Appl., 41:4 (1997), 657–665
Citation in format AMSBIB
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\by S.~A.~Egishyants, E.~I.~Ostrovskii
\paper Local and global upper functions for random fields
\jour Teor. Veroyatnost. i Primenen.
\yr 1996
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\issue 4
\pages 755--764
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\transl
\jour Theory Probab. Appl.
\yr 1997
\vol 41
\issue 4
\pages 657--665
\crossref{https://doi.org/10.1137/S0040585X9797568X}
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  • https://doi.org/10.4213/tvp3200
  • https://www.mathnet.ru/eng/tvp/v41/i4/p755
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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