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Title: On the differential and residual entropy (English)
Author: Katětov, Miroslav
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 29
Issue: 2
Year: 1988
Pages: 319-349
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Category: math
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MSC: 28D20
MSC: 94A17
idZBL: Zbl 0649.94006
idMR: MR957402
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Date available: 2008-06-05T21:33:48Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106643
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Reference: [1] J. BALATONI A. RÉNYI: On the notion of entropy (Hungarian).Publ. Math. Inst. Hungarian Acad. Sci. 1 (1956), 5-40. - English translation: Selected papers of Alfred Rényi, vol. I, pp. 558-584, Akadémiai Kiadó, Budapest, 1987.
Reference: [2] M. KATĚTOV: Extended Shannon entropies I.Czechoslovak Math. J. 33 (108) (1983), 564-601. MR 0721088
Reference: [3] M. KATĚTOV: Extended Shannon entropies II.Czechoslovak Math. J. 35 (110) (1985), 565-616. MR 0809043
Reference: [4] M. KATĚTOV: On extended Shannon entropies and the epsilon entropy.Comment. Math. Univ. Carolinae 27 (1986), 519-543. MR 0873625
Reference: [5] M. KATĚTOV: On the Rényi dimension.Comment. Math. Univ. Carolinae 27 (1986), 741-753. MR 0874669
Reference: [6] M. KATĚTOV: On dimensions of semimetrized measure spaces.Comment. Math. Univ. Carolinae 28 (1987), 399-411. MR 0912568
Reference: [7] E. C. POSNER E. R. RODEMICH H. RUMSEY, Jr.: Epsilon entropy of stochastic processes.Ann. Math. Statist. 38 (1967), 1000-1020. MR 0211457
Reference: [8] E. C. POSNER E. R. RODEMICH: Differential entropy and tiling.J. Statist. Phys. 1 (1969), 57-69. MR 0250349
Reference: [9] A. RÉNYI: On the dimension and entropy of probability distributions.Acta Math. Acad. Sci. Hung. 10 (1959), 193-215. MR 0107575
Reference: [10] A. RÉNYI: Dimension, entropy and information.Trans. 2nd Prague Conf. Information Theory, pp. 545-556, Prague, 1960. MR 0129049
Reference: [11] C. R. SHANNON: A mathematical theory of communication.Bell System Tech. J. 27 (1948), 379-423, 623-656. Zbl 1154.94303, MR 0026286
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