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Matematicheskie Zametki, 2005, Volume 78, Issue 1, Pages 52–58
DOI: https://doi.org/10.4213/mzm2561 (Mi mzm2561) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Estimates of the Entropy of the Set of Means for Some Classes of Stationary and Quasistationary Sequences

V. F. Gaposhkin

Moscow State University of Railway Communications
Full-text PDF (167 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm2561
Abstract: We consider the set of arithmetic means for some classes of stationary and quasistationary sequences. Order-sharp estimates of the entropy of this set for the classes under consideration are given.
Received: 01.03.2004
English version:
Mathematical Notes, 2005, Volume 78, Issue 1, Pages 47–52
DOI: https://doi.org/10.1007/s11006-005-0097-9
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: V. F. Gaposhkin, “Estimates of the Entropy of the Set of Means for Some Classes of Stationary and Quasistationary Sequences”, Mat. Zametki, 78:1 (2005), 52–58; Math. Notes, 78:1 (2005), 47–52
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm2561
  • https://doi.org/10.4213/mzm2561
  • https://www.mathnet.ru/eng/mzm/v78/i1/p52
    • This publication is cited in the following 2 articles:
    1. V. F. Gaposhkin, “Exact Estimates of the Metric Entropy of the Averages for Some Classes of Stationary Sequences”, Theory Probab. Appl., 53:1 (2009), 37–58  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    2. V. F. Gaposhkin, “Precise estimates of the metric entropy for the set of arithmetic averages of quasi-stationary processes”, Theory Probab. Appl., 51:4 (2007), 695–704  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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