Geodesic
A rule for the addition of entropies for underdetermined data
Diskretnyj analiz i issledovanie operacij, Tome 17 (2010) no. 5, pp. 67-90

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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. 
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     title = {A rule for the addition of entropies for underdetermined data},
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L. A. Sholomov. A rule for the addition of entropies for underdetermined data. Diskretnyj analiz i issledovanie operacij, Tome 17 (2010) no. 5, pp. 67-90. http://geodesic.mathdoc.fr/item/DA_2010_17_5_a6/