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Problemy Peredachi Informatsii, 1981, Volume 17, Issue 3, Pages 34–43 (Mi ppi1406)  
Information Theory and Coding Theory

On Properties of the Statistical Estimate of the Entropy of a Random Vector with a Probability Density

A. V. Ivanov, M. N. Rozhkova
Full-text PDF (486 kB)
Abstract: The article considers one statistical estimate of the entropy of a random vector possessing a probability density. It is shown that this estimate is consistent, and an assertion regarding the rate of convergence of the moments of the estimate to zero is obtained.
Received: 05.12.1979
Revised: 03.02.1981
Bibliographic databases:
Document Type: Article
UDC: 621.391.1:519.27
Language: Russian
Citation: A. V. Ivanov, M. N. Rozhkova, “On Properties of the Statistical Estimate of the Entropy of a Random Vector with a Probability Density”, Probl. Peredachi Inf., 17:3 (1981), 34–43; Problems Inform. Transmission, 17:3 (1981), 171–178
Citation in format AMSBIB
\Bibitem{IvaRoz81}
\by A.~V.~Ivanov, M.~N.~Rozhkova
\paper On Properties of the Statistical Estimate of the Entropy of a~Random Vector with a~Probability Density
\jour Probl. Peredachi Inf.
\yr 1981
\vol 17
\issue 3
\pages 34--43
\mathnet{http://mi.mathnet.ru/ppi1406}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=673736}
\zmath{https://zbmath.org/?q=an:0515.62005}
\transl
\jour Problems Inform. Transmission
\yr 1981
\vol 17
\issue 3
\pages 171--178
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    		Проблемы передачи информации Problems of Information Transmission
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