| Title:
|
On entropy-like functionals and codes for metrized probability spaces. I. (English) |
| Author:
|
Katětov, Miroslav |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
31 |
| Issue:
|
1 |
| Year:
|
1990 |
| Pages:
|
49-66 |
| . |
| Category:
|
math |
| . |
| MSC:
|
94A17 |
| idZBL:
|
Zbl 0696.94004 |
| idMR:
|
MR1056171 |
| . |
| Date available:
|
2008-06-05T21:41:59Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106819 |
| . |
| Reference:
|
[1] J. Balatoni A. Rényi: On the notion of entropy.(Hungarian), Publ. Math. Inst. Hungarian Acad. Sci. 1 (1956), 9-40. English translation: Selected papers of A. Renyi, vol. I, pp. 558-584, Akademiai Kiado, Budapest, 1976. |
| 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 the Rényi dimension.Comment. Math. Univ. Carolinae 27 (1986), 741-753. MR 0874669 |
| Reference:
|
[5] M. Katětov: On dimensions of semimetrixed measure spaces.Comment. Math. Univ. Carolinae 28 (1987), 399-411. MR 0912568 |
| Reference:
|
[6] M. Katětov: On the differential and residual entropy.Comment. Math. Univ. Carolinae 29 (1988), 319-349. MR 0957402 |
| Reference:
|
[7] A. Kolmogorov: On some asymptotic characteristics of totally bounded metric spaces.(Russian), Doklady Akad. Nauk SSSR 108 (1956), 385-389. MR 0080904 |
| Reference:
|
[8] A. Kolmogorov V. Tihomirov: $\varepsilon$-entropy and $\varepsilon$- capacity of sets in function spaces.(Russian), Uspehi Mat. Nauk 14, no. 2 (1959), 3-86. MR 0112032 |
| 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 |
| . |
