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Teoriya Veroyatnostei i ee Primeneniya, 1958, Volume 3, Issue 3, Pages 351–354 (Mi tvp4939)  
This article is cited in 5 scientific papers (total in 5 papers)

Short Communications

n the Unboundedness of the Sample Functions of Gaussian Processes

Yu. K. Belyaev

Moscow
Full-text PDF (426 kB) Citations (5)
Abstract: The following theorem is proved: if $x(t)$ is a stationary separable gaussian random process whose spectral function has a non-null continuous component, then almost all sample functions of this process are unbounded.
Received: 09.01.1958
English version:
Theory of Probability and its Applications, 1958, Volume 3, Issue 3, Pages 327–329
DOI: https://doi.org/10.1137/1103026
Document Type: Article
Language: Russian
Citation: Yu. K. Belyaev, “n the Unboundedness of the Sample Functions of Gaussian Processes”, Teor. Veroyatnost. i Primenen., 3:3 (1958), 351–354; Theory Probab. Appl., 3:3 (1958), 327–329
Citation in format AMSBIB
\Bibitem{Bel58}
\by Yu.~K.~Belyaev
\paper n the Unboundedness of the Sample Functions of Gaussian Processes
\jour Teor. Veroyatnost. i Primenen.
\yr 1958
\vol 3
\issue 3
\pages 351--354
\mathnet{http://mi.mathnet.ru/tvp4939}
\transl
\jour Theory Probab. Appl.
\yr 1958
\vol 3
\issue 3
\pages 327--329
\crossref{https://doi.org/10.1137/1103026}
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  • https://www.mathnet.ru/eng/tvp/v3/i3/p351
    • This publication is cited in the following 5 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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