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Teoriya Veroyatnostei i ee Primeneniya, 1977, Volume 22, Issue 4, Pages 851–856 (Mi tvp3634)  
This article is cited in 3 scientific papers (total in 3 papers)

Short Communications

On conditions of the local nondeterminism of differentiable Gaussian stationary processes

R. N. Mirošin

Leningrad
Full-text PDF (982 kB) Citations (3)
Abstract: We are concerned with sufficient conditions of the $k$th order local nondeterminism of a Gaussian stationary process $\xi_t$ in terms of the spectrum (Theorem 1). These conditions are used to establish a criterion for the factorial moment $N_m(t)$ of the number of zeros of $\xi_t$ to be finite (Theorem 2).
Received: 26.03.1975
Revised: 20.01.1976
English version:
Theory of Probability and its Applications, 1978, Volume 22, Issue 4, Pages 831–836
DOI: https://doi.org/10.1137/1122096
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: R. N. Mirošin, “On conditions of the local nondeterminism of differentiable Gaussian stationary processes”, Teor. Veroyatnost. i Primenen., 22:4 (1977), 851–856; Theory Probab. Appl., 22:4 (1978), 831–836
Citation in format AMSBIB
\Bibitem{Mir77}
\by R.~N.~Miro{\v s}in
\paper On conditions of the local nondeterminism of differentiable Gaussian stationary processes
\jour Teor. Veroyatnost. i Primenen.
\yr 1977
\vol 22
\issue 4
\pages 851--856
\mathnet{http://mi.mathnet.ru/tvp3634}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=471054}
\zmath{https://zbmath.org/?q=an:0388.60038}
\transl
\jour Theory Probab. Appl.
\yr 1978
\vol 22
\issue 4
\pages 831--836
\crossref{https://doi.org/10.1137/1122096}
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  • https://www.mathnet.ru/eng/tvp/v22/i4/p851
    • 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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