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Teoriya Veroyatnostei i ee Primeneniya, 1975, Volume 20, Issue 1, Pages 175–177 (Mi tvp3006)  
Short Communications

A remark on the ergodic theorem for Markov chains

I. A. Ibragimov

Leningrad
Full-text PDF (177 kB)
Abstract: An example of an aperiodic transient renewal sequence $\{p_n\}$ with the property $\sum|p_n-p_{n-1}|=\infty$ is constructed.
Received: 08.06.1974
English version:
Theory of Probability and its Applications, 1975, Volume 20, Issue 1, Pages 174–176
DOI: https://doi.org/10.1137/1120018
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. A. Ibragimov, “A remark on the ergodic theorem for Markov chains”, Teor. Veroyatnost. i Primenen., 20:1 (1975), 175–177; Theory Probab. Appl., 20:1 (1975), 174–176
Citation in format AMSBIB
\Bibitem{Ibr75}
\by I.~A.~Ibragimov
\paper A~remark on the ergodic theorem for Markov chains
\jour Teor. Veroyatnost. i Primenen.
\yr 1975
\vol 20
\issue 1
\pages 175--177
\mathnet{http://mi.mathnet.ru/tvp3006}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=365716}
\zmath{https://zbmath.org/?q=an:0361.60020}
\transl
\jour Theory Probab. Appl.
\yr 1975
\vol 20
\issue 1
\pages 174--176
\crossref{https://doi.org/10.1137/1120018}
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