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Teoriya Veroyatnostei i ee Primeneniya, 1974, Volume 19, Issue 3, Pages 596–603 (Mi tvp2938)  
This article is cited in 3 scientific papers (total in 3 papers)

Short Communications

A necessary condition for moments of the number of zeros of a differentiable Guassian stationary process to le inite

R. N. Miroshin

Leningrad State University named after A. A. Zhdanov
Full-text PDF (421 kB) Citations (3)
Abstract: A necessary condition is given (theorem 1) for moments $N_m$ of the number of zeros of a differentiable Gaussian stationary process to be finite. Theorem 2 answers to the question whether moment $N_m<\infty$ or $=\infty$ by comparison of the correlation function ot $\xi_t$ with that of another process for which this problem has been already solved.
Received: 30.05.1973
English version:
Theory of Probability and its Applications, 1975, Volume 19, Issue 3, Pages 570–577
DOI: https://doi.org/10.1137/1119064
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: R. N. Miroshin, “A necessary condition for moments of the number of zeros of a differentiable Guassian stationary process to le inite”, Teor. Veroyatnost. i Primenen., 19:3 (1974), 596–603; Theory Probab. Appl., 19:3 (1975), 570–577
Citation in format AMSBIB
\Bibitem{Mir74}
\by R.~N.~Miroshin
\paper A necessary condition for moments of the number of zeros of a differentiable Guassian stationary process to le inite
\jour Teor. Veroyatnost. i Primenen.
\yr 1974
\vol 19
\issue 3
\pages 596--603
\mathnet{http://mi.mathnet.ru/tvp2938}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=353436}
\zmath{https://zbmath.org/?q=an:0315.60020}
\transl
\jour Theory Probab. Appl.
\yr 1975
\vol 19
\issue 3
\pages 570--577
\crossref{https://doi.org/10.1137/1119064}
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  • https://www.mathnet.ru/eng/tvp/v19/i3/p596
    • This publication is cited in the following 3 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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