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Zapiski Nauchnykh Seminarov POMI, 2009, Volume 363, Pages 151–181 (Mi znsl3148)  
This article is cited in 7 scientific papers (total in 7 papers)

On entropy estimation by $m$-spacing method

F. El Haje Husseina, Yu. Golubevbc

a Université Rennes 2, Rennes, France
b CNRS, Université de Provence, Marseille, France
c Institute for Problems of Information Transmission, Moscow, Russia
Full-text PDF (290 kB) Citations (7)
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Abstract: The $m$-spacing method is a very popular statistical tool in entropy estimation and in goodness of fit testing. In this text, we focus on the case, where the underlying probability density may have an unbounded support or may vanish and show that under mild conditions the $m$-spacing entropy estimators have standard Gaussian limits. Bibl. – 15 titles.
Received: 16.12.2008
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 163, Issue 3, Pages 290–309
DOI: https://doi.org/10.1007/s10958-009-9674-x
UDC: 519
Language: English
Citation: F. El Haje Hussein, Yu. Golubev, “On entropy estimation by $m$-spacing method”, Probability and statistics. Part 14–1, Zap. Nauchn. Sem. POMI, 363, POMI, St. Petersburg, 2009, 151–181; J. Math. Sci. (N. Y.), 163:3 (2010), 290–309
Citation in format AMSBIB
\Bibitem{El Gol09}
\by F.~El Haje Hussein, Yu.~Golubev
\paper On entropy estimation by $m$-spacing method
\inbook Probability and statistics. Part~14--1
\serial Zap. Nauchn. Sem. POMI
\yr 2009
\vol 363
\pages 151--181
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3148}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 163
\issue 3
\pages 290--309
\crossref{https://doi.org/10.1007/s10958-009-9674-x}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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