| Title:
|
On entropy-like functionals and codes for metrized probability spaces II (English) |
| Author:
|
Katětov, Miroslav |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
33 |
| Issue:
|
1 |
| Year:
|
1992 |
| Pages:
|
79-95 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In Part I, we have proved characterization theorems for entropy-like functionals $\delta $, $\lambda $, $E$, $\Delta $ and $\Lambda $ restricted to the class consisting of all finite spaces $P\in \frak W$, the class of all semimetric spaces equipped with a bounded measure. These theorems are now extended to the case of $\delta $, $\lambda $ and $E$ defined on the whole of $\frak W$, and of $\Delta $ and $\Lambda $ restricted to a certain fairly wide subclass of $\frak W$. (English) |
| Keyword:
|
regular code |
| Keyword:
|
dyadic expansion |
| Keyword:
|
entropy |
| MSC:
|
54E35 |
| MSC:
|
94A17 |
| idZBL:
|
Zbl 0751.94004 |
| idMR:
|
MR1173750 |
| . |
| Date available:
|
2009-01-08T17:53:48Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118474 |
| . |
| Reference:
|
[1] Katětov M.: On entropy-like functionals and codes for metrized probability spaces I.Comment. Math. Univ. Carolinae 31 (1990), 49-66. MR 1056171 |
| Reference:
|
[2] Katětov M.: Extended Shannon entropies.Czechoslovak Math. J. 33 (108) (1983), 546-601. MR 0721088 |
| Reference:
|
[3] Kolgomorov A.: On some asymptotic characteristics of totally bounded spaces (in Russian).Doklady Akad. Nauk SSSR 108 (1956), 385-389. |
| Reference:
|
[4] Kolgomorov A., Tihomirov V.: $\varepsilon $-entropy and $\varepsilon $-capacity of sets in function spaces (in Russian).Uspehi Mat. Nauk 14 no. 2 (1959), 3-86. MR 0112032 |
| . |
