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Teoriya Veroyatnostei i ee Primeneniya, 1977, Volume 22, Issue 3, Pages 631–641 (Mi tvp3266)  
This article is cited in 3 scientific papers (total in 3 papers)

Short Communications

Conditions for moments of the number of zeroes of Gaussian stationary processes to be finite

R. N. Mirošin

A. A. Ždanov Leningrad State University
Full-text PDF (636 kB) Citations (3)
Abstract: We deal with factorial moments Nm(t) of the number of zeroes of a Gaussian stationary process ξτ, Mξτ=0, τ∈[0,t]. For ξt having the property of local non-determinism of order k (Definition 1), necessary and sufficient conditions for moments Nm(t) to be finite are obtained (Theorems 1 and 2). In Theorems 3 and 4 these conditions are simplified for the case k=1.
Received: 15.07.1974
Revised: 30.09.1975
English version:
Theory of Probability and its Applications, 1978, Volume 22, Issue 3, Pages 615–625
DOI: https://doi.org/10.1137/1122076
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: R. N. Mirošin, “Conditions for moments of the number of zeroes of Gaussian stationary processes to be finite”, Teor. Veroyatnost. i Primenen., 22:3 (1977), 631–641; Theory Probab. Appl., 22:3 (1978), 615–625
Citation in format AMSBIB
\Bibitem{Mir77}
\by R.~N.~Miro{\v s}in
\paper Conditions for moments of the number of zeroes of Gaussian stationary processes to be finite
\jour Teor. Veroyatnost. i Primenen.
\yr 1977
\vol 22
\issue 3
\pages 631--641
\mathnet{http://mi.mathnet.ru/tvp3266}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=448515}
\zmath{https://zbmath.org/?q=an:0401.60038}
\transl
\jour Theory Probab. Appl.
\yr 1978
\vol 22
\issue 3
\pages 615--625
\crossref{https://doi.org/10.1137/1122076}
Linking options:
  • https://www.mathnet.ru/eng/tvp3266
  • https://www.mathnet.ru/eng/tvp/v22/i3/p631
    • This publication is cited in the following 3 articles:
    1. Level Sets and Extrema of Random Processes and Fields, 2009, 373  crossref
    2. Jean-Marc Azaïs, Mario Wschebor, In and Out of Equilibrium, 2002, 321  crossref
    3. T. L. Malevič, “On conditions for the moments of the number of zeros of Gaussian stationary processes to be finite”, Theory Probab. Appl., 24:4 (1980), 741–754  mathnet  mathnet  crossref  isi
    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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