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 Mat. Zametki, 2005, Volume 78, Issue 1, Pages 52–58 (Mi mz2561)

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

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.

DOI: https://doi.org/10.4213/mzm2561

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English version:
Mathematical Notes, 2005, 78:1, 47–52

Bibliographic databases:

UDC: 519.2

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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• http://mi.mathnet.ru/eng/mz2561
• https://doi.org/10.4213/mzm2561
• http://mi.mathnet.ru/eng/mz/v78/i1/p52

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This publication is cited in the following articles:
1. 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
2. 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
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