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Branching and generalized-recursive inset entropies. (English) Zbl 0401.94014

MSC:
94A17 Measures of information, entropy
39B99 Functional equations and inequalities
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[1] J. Aczél and Z. Daróczy, A mixed theory of information. I. Symmetric, recursive and measurable entropies of randomized systems of events, RAIRO Inform. Théor. 12 (1978), no. 2, 149 – 155, v (English, with French summary). J. Aczél, A mixed theory of information. II. Additive inset entropies (of randomized systems of events) with measurable sum property, Utilitas Math. 13 (1978), 49 – 54.
[2] J. Aczél and Z. Daróczy, On measures of information and their characterizations, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1975. Mathematics in Science and Engineering, Vol. 115. · Zbl 0345.94022
[3] J. Aczél and Z. Daróczy, A mixed theory of information. I. Symmetric, recursive and measurable entropies of randomized systems of events, RAIRO Inform. Théor. 12 (1978), no. 2, 149 – 155, v (English, with French summary). J. Aczél, A mixed theory of information. II. Additive inset entropies (of randomized systems of events) with measurable sum property, Utilitas Math. 13 (1978), 49 – 54.
[4] J. Aczél and Pl. Kannappan, A mixed theory of information. III. Inset entropies of degree \?, Inform. and Control 39 (1978), no. 3, 315 – 322. · Zbl 0393.94011
[5] Bruce R. Ebanks, Branching measures of information on strings, Canad. Math. Bull. 22 (1979), no. 4, 433 – 448. · Zbl 0434.94002
[6] -, Generalized-recursive entropies (to appear). · Zbl 0529.94006
[7] C. T. Ng, Representation for measures of information with the branching property, Information and Control 25 (1974), 45 – 56. · Zbl 0279.94018
[8] J. Aczél and Pl. Kannappan, On some symmetric recursive inset measures of information, Transactions of the Prague Conference on Information Theory, Statistical Decision Functions and Random Processes, Academia, Prague, 1978. · Zbl 0409.94007
[9] Pl. Kannappan, A mixed theory of information. IV. Inset-inaccuracy and directed divergence, Metrika 27 (1980), no. 2, 91 – 98. · Zbl 0433.94005
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