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Teoriya Veroyatnostei i ee Primeneniya, 1979, Volume 24, Issue 1, Pages 198–204 (Mi tvp975)  
This article is cited in 5 scientific papers (total in 5 papers)

Short Communications

On the $\sigma$-algebra of symmetrical events for a countable Markov chain

L. A. Grigorenko

Vladimir
Full-text PDF (572 kB) Citations (5)
Abstract: It is proved that the $\sigma$-algebra of symmetrical events for a countable Markov chain $\{x_n, n\ge 1\}$ coincides a. s. with $T(\sigma_1\bigcap\sigma_2)$, where $T$ is a left shift and $\sigma_i=\sigma(x_i)$, $i=1,2$.
Received: 10.01.1978
English version:
Theory of Probability and its Applications, 1979, Volume 24, Issue 1, Pages 198–204
DOI: https://doi.org/10.1137/1124022
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. A. Grigorenko, “On the $\sigma$-algebra of symmetrical events for a countable Markov chain”, Teor. Veroyatnost. i Primenen., 24:1 (1979), 198–204; Theory Probab. Appl., 24:1 (1979), 198–204
Citation in format AMSBIB
\Bibitem{Gri79}
\by L.~A.~Grigorenko
\paper On the $\sigma$-algebra of symmetrical events for a countable Markov chain
\jour Teor. Veroyatnost. i Primenen.
\yr 1979
\vol 24
\issue 1
\pages 198--204
\mathnet{http://mi.mathnet.ru/tvp975}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=522254}
\zmath{https://zbmath.org/?q=an:0396.60061}
\transl
\jour Theory Probab. Appl.
\yr 1979
\vol 24
\issue 1
\pages 198--204
\crossref{https://doi.org/10.1137/1124022}
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  • https://www.mathnet.ru/eng/tvp/v24/i1/p198
    • This publication is cited in the following 5 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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