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Teoriya Veroyatnostei i ee Primeneniya, 1971, Volume 16, Issue 3, Pages 484–494 (Mi tvp2261)  

This article is cited in 7 scientific papers (total in 7 papers)

On the behaviour of the variances of sums of random variables that form a stationary process

M. I. Gordin

Leningrad
Full-text PDF (623 kB) Citations (7)
Abstract: Some sufficient conditions are obtained for unboundedness of the variances of sums of random variables that form a stationary sequence.
A number of applications of these results (e.g. to continued fractions) is described.
Received: 17.07.1969
English version:
Theory of Probability and its Applications, 1971, Volume 16, Issue 3, Pages 474–484
DOI: https://doi.org/10.1137/1116051
Bibliographic databases:
Language: Russian
Citation: M. I. Gordin, “On the behaviour of the variances of sums of random variables that form a stationary process”, Teor. Veroyatnost. i Primenen., 16:3 (1971), 484–494; Theory Probab. Appl., 16:3 (1971), 474–484
Citation in format AMSBIB
\Bibitem{Gor71}
\by M.~I.~Gordin
\paper On the behaviour of the variances of sums of random variables that form a~stationary process
\jour Teor. Veroyatnost. i Primenen.
\yr 1971
\vol 16
\issue 3
\pages 484--494
\mathnet{http://mi.mathnet.ru/tvp2261}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=287606}
\zmath{https://zbmath.org/?q=an:0255.60025}
\transl
\jour Theory Probab. Appl.
\yr 1971
\vol 16
\issue 3
\pages 474--484
\crossref{https://doi.org/10.1137/1116051}
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  • https://www.mathnet.ru/eng/tvp2261
  • https://www.mathnet.ru/eng/tvp/v16/i3/p484
  • This publication is cited in the following 7 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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    Abstract page:198
    Full-text PDF :110
     
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