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Teoriya Veroyatnostei i ee Primeneniya, 1963, Volume 8, Issue 2, Pages 184–189 (Mi tvp4661)  

This article is cited in 105 scientific papers (total in 105 papers)

Short Communications

Periodically and Almost Periodically Correlated Random Processes with a Continuous Parameter

E. G. Gladyšev

Institute of Atmospheric Physics, USSR Academy of Sciences
Abstract: The random process $x(t),\infty<t<\infty$, with ${\mathbf M}x(t)={\mathbf M}x(t+t_0),\quad{\mathbf M}x(s)\overline{x(t)}={\mathbf M}x(s+t_0)\overline{x(t+t_0)}$ for fixed ${t_0}$ is called periodically correlated. Almost periodically correlated processes are defined by analogy.
The property of positive definiteness of covariation and the harmonizability of these processes are considered.
Received: 02.10.1961
English version:
Theory of Probability and its Applications, 1963, Volume 8, Issue 2, Pages 173–177
DOI: https://doi.org/10.1137/1108016
Document Type: Article
Language: Russian
Citation: E. G. Gladyšev, “Periodically and Almost Periodically Correlated Random Processes with a Continuous Parameter”, Teor. Veroyatnost. i Primenen., 8:2 (1963), 184–189; Theory Probab. Appl., 8:2 (1963), 173–177
Citation in format AMSBIB
\Bibitem{Gla63}
\by E.~G.~Glady{\v s}ev
\paper Periodically and Almost Periodically Correlated Random Processes with a Continuous Parameter
\jour Teor. Veroyatnost. i Primenen.
\yr 1963
\vol 8
\issue 2
\pages 184--189
\mathnet{http://mi.mathnet.ru/tvp4661}
\transl
\jour Theory Probab. Appl.
\yr 1963
\vol 8
\issue 2
\pages 173--177
\crossref{https://doi.org/10.1137/1108016}
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  • This publication is cited in the following 105 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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