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Teoriya Veroyatnostei i ee Primeneniya, 2008, Volume 53, Issue 1, Pages 16–39
DOI: https://doi.org/10.4213/tvp317 (Mi tvp317) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Exact Estimates of the Metric Entropy of the Averages for Some Classes of Stationary Sequences

V. F. Gaposhkin

Moscow State University of Railway Communications
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DOI: https://doi.org/10.4213/tvp317
Abstract: This paper obtains upper and low estimates of the metric $\varepsilon$-entropy of the arithmetic averages for classes of stationary sequences coinciding in the order of growth as $\varepsilon\to 0$. These estimates essentially differ from the estimates for analogous classes of quasi-stationary processes.
Keywords: stationary and quasi-stationary sequences, arithmetic averages, metric entropy, upper and low estimates.
Received: 22.12.2005
Revised: 31.01.2007
English version:
Theory of Probability and its Applications, 2009, Volume 53, Issue 1, Pages 37–58
DOI: https://doi.org/10.1137/S0040585X97983377
Bibliographic databases:
Language: Russian
Citation: V. F. Gaposhkin, “Exact Estimates of the Metric Entropy of the Averages for Some Classes of Stationary Sequences”, Teor. Veroyatnost. i Primenen., 53:1 (2008), 16–39; Theory Probab. Appl., 53:1 (2009), 37–58
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tvp/v53/i1/p16
    • 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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