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Teoriya Veroyatnostei i ee Primeneniya, 1998, Volume 43, Issue 3, Pages 610–621
DOI: https://doi.org/10.4213/tvp1566 (Mi tvp1566) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Short Communications

An entropy estimator for a class of infinite alphabet processes

A. N. Quas

Department of pure mathematics and mathematical statistics, University of Cambridge, England
Full-text PDF (658 kB) Citations (14)
DOI: https://doi.org/10.4213/tvp1566
Abstract: Motivated by recent work by Kontoyiannis and Suhov, and by Shields, we present an entropy estimator which works for a class of ergodic finite entropy infinite symbol processes for which the entropy of the time-zero partition is finite, and which satisfy a “Doeblin condition”. The results are then extended to random fields indexed by $\mathbb{Z}^d$.
Keywords: entropy estimator, prefixes.
Received: 14.07.1997
English version:
Theory of Probability and its Applications, 1998, Volume 43, Issue 3, Pages 496–507
DOI: https://doi.org/10.1137/S0040585X97977100
Bibliographic databases:
Document Type: Article
Language: English
Citation: A. N. Quas, “An entropy estimator for a class of infinite alphabet processes”, Teor. Veroyatnost. i Primenen., 43:3 (1998), 610–621; Theory Probab. Appl., 43:3 (1998), 496–507
Citation in format AMSBIB
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\paper An entropy estimator for a~class of infinite alphabet processes
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\transl
\jour Theory Probab. Appl.
\yr 1998
\vol 43
\issue 3
\pages 496--507
\crossref{https://doi.org/10.1137/S0040585X97977100}
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  • https://doi.org/10.4213/tvp1566
  • https://www.mathnet.ru/eng/tvp/v43/i3/p610
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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