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Teoriya Veroyatnostei i ee Primeneniya, 1999, Volume 44, Issue 1, Pages 151–154
DOI: https://doi.org/10.4213/tvp615 (Mi tvp615) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Short Communications

The invariance principle for some class of Markov chains

Zhengyan Lin

Department of Mathematics, Hangzhou University, P. R. China
Full-text PDF (401 kB) Citations (2)
DOI: https://doi.org/10.4213/tvp615
Abstract: This work is devoted to the invariance principle for homogeneous Markov chains with a finite state space. The proof is based on a comparison of the asymptotic behavior of sums of random variables constructed by Markov chains with the same transition matrix and various initial distributions.
Keywords: invariance principle, Markov chain with a finite state space.
Received: 17.03.1997
English version:
Theory of Probability and its Applications, 2000, Volume 44, Issue 1, Pages 136–139
DOI: https://doi.org/10.1137/S0040585X9797746X
Bibliographic databases:
Document Type: Article
Language: English
Citation: Zhengyan Lin, “The invariance principle for some class of Markov chains”, Teor. Veroyatnost. i Primenen., 44:1 (1999), 151–154; Theory Probab. Appl., 44:1 (2000), 136–139
Citation in format AMSBIB
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\jour Theory Probab. Appl.
\yr 2000
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\issue 1
\pages 136--139
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  • https://doi.org/10.4213/tvp615
  • https://www.mathnet.ru/eng/tvp/v44/i1/p151
    • This publication is cited in the following 2 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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