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Probl. Peredachi Inf., 1987, Volume 23, Issue 2, Pages 9–16 (Mi ppi797)  

This article is cited in 5 scientific papers (total in 5 papers)

Information Theory

Sample Estimate of the Entropy of a Random Vector

L. F. Kozachenko, N. N. Leonenko


Abstract: We establish conditions for asymptotic unbiasedness and consistency of a simple estimator of the unknown entropy of an absolutely continuous random vector from a sample of independent observations.

Full text: PDF file (543 kB)

English version:
Problems of Information Transmission, 1987, 23:2, 95–101

Bibliographic databases:

UDC: 621.391.1:519.27
Received: 10.06.1985

Citation: L. F. Kozachenko, N. N. Leonenko, “Sample Estimate of the Entropy of a Random Vector”, Probl. Peredachi Inf., 23:2 (1987), 9–16; Problems Inform. Transmission, 23:2 (1987), 95–101

Citation in format AMSBIB
\Bibitem{KozLeo87}
\by L.~F.~Kozachenko, N.~N.~Leonenko
\paper Sample Estimate of the Entropy of a~Random Vector
\jour Probl. Peredachi Inf.
\yr 1987
\vol 23
\issue 2
\pages 9--16
\mathnet{http://mi.mathnet.ru/ppi797}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=908626}
\zmath{https://zbmath.org/?q=an:0633.62005}
\transl
\jour Problems Inform. Transmission
\yr 1987
\vol 23
\issue 2
\pages 95--101


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. J. Math. Sci. (N. Y.), 163:3 (2010), 290–309  mathnet  crossref
    2. Faes L., Marinazzo D., Jurysta F., Nollo G., “Linear and Non-Linear Brain-Heart and Brain-Brain Interactions During Sleep”, Physiol. Meas., 36:4 (2015), 683–698  crossref  isi
    3. Moon K.R., Noshad M., Sekeh S.Ya., Hero Iii A.O., “Information Theoretic Structure Learning With Confidence”, 2017 IEEE International Conference on Acoustics, Speech and Signal Processing (Icassp), International Conference on Acoustics Speech and Signal Processing Icassp, IEEE, 2017, 6095–6099  isi
    4. Cliff O.M., Prokopenko M., Fitch R., “Minimising the Kullback-Leibler Divergence For Model Selection in Distributed Nonlinear Systems”, Entropy, 20:2 (2018), 51  crossref  mathscinet  isi  scopus
    5. Greigarn T., Branicky M.S., Cavusoglu M.C., “Task-Oriented Active Sensing Via Action Entropy Minimization”, IEEE Access, 7 (2019), 135413–135426  crossref  isi  scopus
  • Проблемы передачи информации Problems of Information Transmission
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