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Teoriya Veroyatnostei i ee Primeneniya, 1971, Volume 16, Issue 3, Pages 437–445 (Mi tvp2257)  
This article is cited in 1 scientific paper (total in 1 paper)

Limit theorems for conditional Markov chains

Z. I. Bežaeva

Moscow
Full-text PDF (493 kB) Citations (1)
Abstract: Let $\zeta_k(\omega)=(\xi_k(\omega),\eta_k(\omega))$ ($k=1,2,\dots$) be a finite homogeneous Markov chain. If $\eta_1(\omega),\dots,\eta_n(\omega)$ are fixed, $\xi_k$ ($k=1,\dots,n$) are known to be a so-called conditional Markov chain.
In this paper, the law of large numbers and the central limit theorem for the conditional Markov chain are obtained.
Received: 20.03.1970
English version:
Theory of Probability and its Applications, 1971, Volume 16, Issue 3, Pages 429–437
DOI: https://doi.org/10.1137/1116047
Bibliographic databases:
Language: Russian
Citation: Z. I. Bežaeva, “Limit theorems for conditional Markov chains”, Teor. Veroyatnost. i Primenen., 16:3 (1971), 437–445; Theory Probab. Appl., 16:3 (1971), 429–437
Citation in format AMSBIB
\Bibitem{Bez71}
\by Z.~I.~Be{\v z}aeva
\paper Limit theorems for conditional Markov chains
\jour Teor. Veroyatnost. i Primenen.
\yr 1971
\vol 16
\issue 3
\pages 437--445
\mathnet{http://mi.mathnet.ru/tvp2257}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=292174}
\zmath{https://zbmath.org/?q=an:0248.60046}
\transl
\jour Theory Probab. Appl.
\yr 1971
\vol 16
\issue 3
\pages 429--437
\crossref{https://doi.org/10.1137/1116047}
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  • https://www.mathnet.ru/eng/tvp/v16/i3/p437
    • This publication is cited in the following 1 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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