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Teoriya Veroyatnostei i ee Primeneniya, 1981, Volume 26, Issue 4, Pages 720–733 (Mi tvp3502)  

This article is cited in 20 scientific papers (total in 20 papers)

On the rate of convergence in the strong law of large numbers for stationary processes

V. F. Gapoškin

Moscow
Abstract: If the covariance of a stationary (in a wide sense) process decreases with some rate, then means $\sigma_T$ (see (2)) converge to 0 a. s. We obtain the estimates for the rate of this convergence. These estimates are the best in a some sense.
Received: 18.12.1979
English version:
Theory of Probability and its Applications, 1982, Volume 26, Issue 4, Pages 706–720
DOI: https://doi.org/10.1137/1126078
Bibliographic databases:
Language: Russian
Citation: V. F. Gapoškin, “On the rate of convergence in the strong law of large numbers for stationary processes”, Teor. Veroyatnost. i Primenen., 26:4 (1981), 720–733; Theory Probab. Appl., 26:4 (1982), 706–720
Citation in format AMSBIB
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\by V.~F.~Gapo{\v s}kin
\paper On the rate of convergence in the strong law of large numbers for stationary processes
\jour Teor. Veroyatnost. i Primenen.
\yr 1981
\vol 26
\issue 4
\pages 720--733
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=636767}
\zmath{https://zbmath.org/?q=an:0488.60040|0476.60032}
\transl
\jour Theory Probab. Appl.
\yr 1982
\vol 26
\issue 4
\pages 706--720
\crossref{https://doi.org/10.1137/1126078}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1982PM42700004}
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  • https://www.mathnet.ru/eng/tvp/v26/i4/p720
  • This publication is cited in the following 20 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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