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Teoriya Veroyatnostei i ee Primeneniya, 1974, Volume 19, Issue 1, Pages 140–151 (Mi tvp2764)  

This article is cited in 1 scientific paper (total in 1 paper)

Some bounds for the probabilities of events generated by Gaussian processes and fields, and applications to crossings of a level

T. L. Malevich

Tashkent
Full-text PDF (552 kB) Citations (1)
Abstract: Lower bounds are obtained for the probabilities of events generated by a Gaussian family $x(t)$, $t\in[0,T]$ or $x(t_1,\dots,t_m)$, $t_1^2+\dots+t_m^2\le T^2$, as $T\to\infty$.
Received: 14.09.1971
English version:
Theory of Probability and its Applications, 1974, Volume 19, Issue 1, Pages 142–153
DOI: https://doi.org/10.1137/1119011
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: T. L. Malevich, “Some bounds for the probabilities of events generated by Gaussian processes and fields, and applications to crossings of a level”, Teor. Veroyatnost. i Primenen., 19:1 (1974), 140–151; Theory Probab. Appl., 19:1 (1974), 142–153
Citation in format AMSBIB
\Bibitem{Mal74}
\by T.~L.~Malevich
\paper Some bounds for the probabilities of events generated by Gaussian processes and fields, and applications to crossings of a~level
\jour Teor. Veroyatnost. i Primenen.
\yr 1974
\vol 19
\issue 1
\pages 140--151
\mathnet{http://mi.mathnet.ru/tvp2764}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=348833}
\zmath{https://zbmath.org/?q=an:0326.60044}
\transl
\jour Theory Probab. Appl.
\yr 1974
\vol 19
\issue 1
\pages 142--153
\crossref{https://doi.org/10.1137/1119011}
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  • https://www.mathnet.ru/eng/tvp2764
  • https://www.mathnet.ru/eng/tvp/v19/i1/p140
    Erratum
    This publication is cited in the following 1 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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