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Branching and generalized-recursive inset entropies


Author: Bruce R. Ebanks
Journal: Proc. Amer. Math. Soc. 79 (1980), 260-267
MSC: Primary 94A17; Secondary 39B40, 39B70
DOI: https://doi.org/10.1090/S0002-9939-1980-0565351-6
MathSciNet review: 565351
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Abstract: In the framework of the mixed theory of information, the general form of branching entropies is determined. This result then leads to a characterization of regular, generalized-recursive entropies of randomized systems of events.

References [Enhancements On Off] (What's this?)

  • [1] 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. MR 0490442
  • [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. MR 0689178
  • [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). MR 0490441
  • [4] J. Aczél and Pl. Kannappan, A mixed theory of information. III. Inset entropies of degree 𝛽, Inform. and Control 39 (1978), no. 3, 315–322. MR 523445, https://doi.org/10.1016/S0019-9958(78)90659-9
  • [5] Bruce R. Ebanks, Branching measures of information on strings, Canad. Math. Bull. 22 (1979), no. 4, 433–448. MR 563757, https://doi.org/10.4153/CMB-1979-057-3
  • [6] -, Generalized-recursive entropies (to appear).
  • [7] C. T. Ng, Representation for measures of information with the branching property, Information and Control 25 (1974), 45–56. MR 0342273
  • [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.
  • [9] Pl. Kannappan, A mixed theory of information. IV. Inset-inaccuracy and directed divergence, Metrika 27 (1980), no. 2, 91–98. MR 577559, https://doi.org/10.1007/BF01893579

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1980-0565351-6
Keywords: Inset entropy, branching, randomized system of events, mixed theory of information, generalized recursivity
Article copyright: © Copyright 1980 American Mathematical Society

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