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Diskretnyi Analiz i Issledovanie Operatsii, 2010, Volume 17, Issue 5, Pages 67–90 (Mi da626)  
A rule for the addition of entropies for underdetermined data

L. A. Sholomov

Institute of System Analysis RAS, Moscow, Russia
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Abstract: The basic information characteristics for underdetermined data are introduced. For underdetermined data of the general form, it is proved that the entropy addition rule $H(X)+H(Y|X)=H(XY)$ of classic Information theory turns into a more complicated expression. The form of the expression is found. In addition, the necessary and sufficient conditions for it to coincide with the ordinary entropy addition rule are obtained. Bibliogr. 11.
Keywords: underdetermined data, information characteristics, entropy, conditional entropy, specification, best specification, entropy addition rule.
Received: 18.02.2010
Revised: 26.05.2010
English version:
Journal of Applied and Industrial Mathematics, 2011, Volume 5, Issue 3, Pages 431–447
DOI: https://doi.org/10.1134/S1990478911030161
Bibliographic databases:
Document Type: Article
UDC: 519.174
Language: Russian
Citation: L. A. Sholomov, “A rule for the addition of entropies for underdetermined data”, Diskretn. Anal. Issled. Oper., 17:5 (2010), 67–90; J. Appl. Industr. Math., 5:3 (2011), 431–447
Citation in format AMSBIB
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\by L.~A.~Sholomov
\paper A rule for the addition of entropies for underdetermined data
\jour Diskretn. Anal. Issled. Oper.
\yr 2010
\vol 17
\issue 5
\pages 67--90
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2779353}
\zmath{https://zbmath.org/?q=an:1249.94020}
\transl
\jour J. Appl. Industr. Math.
\yr 2011
\vol 5
\issue 3
\pages 431--447
\crossref{https://doi.org/10.1134/S1990478911030161}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80052004377}
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    		Дискретный анализ и исследование операций
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