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

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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.

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Translated from Matematicheskie Zametki, vol. 78, no. 1, 2005, pp. 52–58.

Original Russian Text Copyright © 2005 by V. F. Gaposhkin.

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Gaposhkin, V.F. Estimates of the Entropy of the Set of Means for Some Classes of Stationary and Quasistationary Sequences. Math Notes 78, 47–52 (2005). https://doi.org/10.1007/s11006-005-0097-9

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  • DOI: https://doi.org/10.1007/s11006-005-0097-9

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