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Teoriya Veroyatnostei i ee Primeneniya, 1961, Volume 6, Issue 4, Pages 474–478 (Mi tvp4806)  

This article is cited in 49 scientific papers (total in 49 papers)

Short Communications

On the Mean Number of Crossings of a Level by a Stationary Gaussian Process

E. V. Bulinskaya

Moscow
Abstract: Let $\xi(t)$ be a stationary Gaussian process and $N_\xi (u)$ denote the number of solutions of $\xi(t)=u, 0\ne t\ne1$. We prove the well-known formula for $\mathbf M_\xi(u)$ under conditions that are very close to the necessary ones.
Received: 04.02.1960
English version:
Theory of Probability and its Applications, 1961, Volume 6, Issue 4, Pages 435–438
DOI: https://doi.org/10.1137/1106059
Document Type: Article
Language: Russian
Citation: E. V. Bulinskaya, “On the Mean Number of Crossings of a Level by a Stationary Gaussian Process”, Teor. Veroyatnost. i Primenen., 6:4 (1961), 474–478; Theory Probab. Appl., 6:4 (1961), 435–438
Citation in format AMSBIB
\Bibitem{Bul61}
\by E.~V.~Bulinskaya
\paper On the Mean Number of Crossings of a Level by a Stationary Gaussian Process
\jour Teor. Veroyatnost. i Primenen.
\yr 1961
\vol 6
\issue 4
\pages 474--478
\mathnet{http://mi.mathnet.ru/tvp4806}
\transl
\jour Theory Probab. Appl.
\yr 1961
\vol 6
\issue 4
\pages 435--438
\crossref{https://doi.org/10.1137/1106059}
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  • https://www.mathnet.ru/eng/tvp/v6/i4/p474
  • This publication is cited in the following 49 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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