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 |
. |
Category:
|
math |
. |
MSC:
|
28D20 |
MSC:
|
94A17 |
idZBL:
|
Zbl 0649.94006 |
idMR:
|
MR957402 |
. |
Date available:
|
2008-06-05T21:33:48Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106643 |
. |
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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