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Teoriya Veroyatnostei i ee Primeneniya, 1983, Volume 28, Issue 2, Pages 229–250 (Mi tvp2292)  
This article is cited in 15 scientific papers (total in 16 papers)

On smoothness conditions for trajectories of random functions

I. A. Ibragimov

Leningrad
Full-text PDF (2792 kB) Citations (16)
Abstract: Let $\xi(x)$ be a random function of $x\in R^k$ and
$$ \omega_p^r(\delta,\xi)=\sup_{\substack{x,h\in R^k\\|h|\le\delta}} \mathbf E^{1/p}\biggl|\sum_{l=0}^r(-1)^lC_r^l\xi(x+lh)\biggr|^p. $$
Properties of $\omega_p^r(\delta,\xi)$ as a function of $\delta$ are investigated; a number of inequalities are obtained.
Received: 10.01.1983
English version:
Theory of Probability and its Applications, 1984, Volume 28, Issue 2, Pages 240–262
DOI: https://doi.org/10.1137/1128023
Bibliographic databases:
Language: Russian
Citation: I. A. Ibragimov, “On smoothness conditions for trajectories of random functions”, Teor. Veroyatnost. i Primenen., 28:2 (1983), 229–250; Theory Probab. Appl., 28:2 (1984), 240–262
Citation in format AMSBIB
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\by I.~A.~Ibragimov
\paper On smoothness conditions for trajectories of random functions
\jour Teor. Veroyatnost. i Primenen.
\yr 1983
\vol 28
\issue 2
\pages 229--250
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=700208}
\zmath{https://zbmath.org/?q=an:0533.60046|0516.60049}
\transl
\jour Theory Probab. Appl.
\yr 1984
\vol 28
\issue 2
\pages 240--262
\crossref{https://doi.org/10.1137/1128023}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1984SS85900003}
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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