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Teoriya Veroyatnostei i ee Primeneniya, 2006, Volume 51, Issue 3, Pages 600–607
DOI: https://doi.org/10.4213/tvp42 (Mi tvp42) 		 
This article is cited in 8 scientific papers (total in 8 papers)

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On law bounds for mixing rates for a class of Markov processes

S. A. Klokov

Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Science
Full-text PDF (970 kB) Citations (8)
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DOI: https://doi.org/10.4213/tvp42
Abstract: Lower bounds of $\alpha$-mixing rate are established for particular models from a class of stationary Markov processes under recurrence conditions. The bounds are compared to previously known upper bounds of $\beta$-mixing rate in cases of polynomial and subexponential convergence. In the latter case, it is shown that the bounds are sharp.
Keywords: Markov process, recurrence, invariant measure, mixing coefficients, polynomial rate, subexponential rate.
Received: 14.10.2002
Revised: 23.05.2005
English version:
Theory of Probability and its Applications, 2007, Volume 51, Issue 3, Pages 528–535
DOI: https://doi.org/10.1137/S0040585X97982554
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. A. Klokov, “On law bounds for mixing rates for a class of Markov processes”, Teor. Veroyatnost. i Primenen., 51:3 (2006), 600–607; Theory Probab. Appl., 51:3 (2007), 528–535
Citation in format AMSBIB
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    • This publication is cited in the following 8 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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