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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 7, Pages 48–56 (Mi ivm7697)  
This article is cited in 1 scientific paper (total in 1 paper)

A theorem on properties of sample functions of a random field and generalized random fields

S. L. Starodubov

Chair of Function Theory and Functional Analysis, Moscow State University, Moscow, Russia
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Abstract: We prove a theorem on the equivalence of some properties of a random field defined in terms of sample functions. We apply this theorem for studying generalized random fields.
Keywords: random fields, sample functions, total transform of a measure, cylindric set algebras, generalized random field.
Received: 05.03.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 7, Pages 40–46
DOI: https://doi.org/10.3103/S1066369X11070061
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: Russian
Citation: S. L. Starodubov, “A theorem on properties of sample functions of a random field and generalized random fields”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 7, 48–56; Russian Math. (Iz. VUZ), 55:7 (2011), 40–46
Citation in format AMSBIB
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\paper A theorem on properties of sample functions of a~random field and generalized random fields
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 7
\pages 48--56
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2931716}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 7
\pages 40--46
\crossref{https://doi.org/10.3103/S1066369X11070061}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80051676850}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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