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Teoriya Veroyatnostei i ee Primeneniya, 1973, Volume 18, Issue 2, Pages 321–338 (Mi tvp4250)  
This article is cited in 109 scientific papers (total in 109 papers)

Mixing Conditions for Markov Chains

Yu. A. Davydov

Leningrad
Full-text PDF (2251 kB) Citations (109)
Abstract: In the paper, simple sufficient conditions are obtained for a homogeneous recurrent Markov chain with an arbitrary state space to possess the strong mixing property. These conditions enable constructing various examples of stationary processes with strong mixing property for which the central limit theorem fails to hold. For the examples constructed, the growth of the variance of partial sums and the decrease of the mixing coefficient are estimated.
Received: 25.01.1971
English version:
Theory of Probability and its Applications, 1973, Volume 18, Issue 2, Pages 312–328
DOI: https://doi.org/10.1137/1118033
Bibliographic databases:
Language: Russian
Citation: Yu. A. Davydov, “Mixing Conditions for Markov Chains”, Teor. Veroyatnost. i Primenen., 18:2 (1973), 321–338; Theory Probab. Appl., 18:2 (1973), 312–328
Citation in format AMSBIB
\Bibitem{Dav73}
\by Yu.~A.~Davydov
\paper Mixing Conditions for Markov Chains
\jour Teor. Veroyatnost. i Primenen.
\yr 1973
\vol 18
\issue 2
\pages 321--338
\mathnet{http://mi.mathnet.ru/tvp4250}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=321183}
\zmath{https://zbmath.org/?q=an:0297.60031}
\transl
\jour Theory Probab. Appl.
\yr 1973
\vol 18
\issue 2
\pages 312--328
\crossref{https://doi.org/10.1137/1118033}
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  • https://www.mathnet.ru/eng/tvp/v18/i2/p321
    • This publication is cited in the following 109 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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