Teoriya Veroyatnostei i ee Primeneniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Teor. Veroyatnost. i Primenen.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
\Bibitem{Qua98}
\by A.~N.~Quas
\paper An entropy estimator for a~class of infinite alphabet processes
\jour Teor. Veroyatnost. i Primenen.
\yr 1998
\vol 43
\issue 3
\pages 610--621
\mathnet{http://mi.mathnet.ru/tvp1566}
\crossref{https://doi.org/10.4213/tvp1566}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1681044}
\zmath{https://zbmath.org/?q=an:1047.28500}
\transl
\jour Theory Probab. Appl.
\yr 1998
\vol 43
\issue 3
\pages 496--507
\crossref{https://doi.org/10.1137/S0040585X97977100}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000085137400012}
Linking options:
  • https://www.mathnet.ru/eng/tvp1566
  • 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
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
    Statistics & downloads:
    Abstract page:254
    Full-text PDF :162
    First page:11
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024