| Title:
|
Epsilon-rates, epsilon-quantiles, and group coding theorems for finitely additive information sources (English) |
| Author:
|
Šujan, Štefan |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
16 |
| Issue:
|
2 |
| Year:
|
1980 |
| Pages:
|
(105)-119 |
| . |
| Category:
|
math |
| . |
| MSC:
|
94A29 |
| idZBL:
|
Zbl 0441.94008 |
| idMR:
|
MR575419 |
| . |
| Date available:
|
2009-09-24T17:12:45Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125597 |
| . |
| Reference:
|
[1] B. de Finetti: Probability, Induction and Statistics.J. Wiley, London-New York-Toronto 1972. Zbl 0275.60001 |
| Reference:
|
[2] N. Dunford J. T. Schwartz: Linear Operators. Part I.Interscience, New York 1957. |
| Reference:
|
[3] I. D. McDonald: The Theory of Groups.Clarendon Press, Oxford 1968. MR 0244355 |
| Reference:
|
[4] R. A. Olshen: Representing finitely additive invariant probabilities.Ann. Math. Stat. 39 (1968), 2131-2135. Zbl 0185.44203, MR 0239633 |
| Reference:
|
[5] J. C. Oxtoby: Ergodic sets.Bull. AMS 58 (1952), 116-136. Zbl 0046.11504, MR 0047262 |
| Reference:
|
[6] K. R. Parthasarathy: A note on McMillan's theorem for countable alphabets.Trans. 3rd Prague Conf. on Inf. Theory etc., NČSAV, Prague 1964, 541 - 543. Zbl 0199.21401, MR 0166006 |
| Reference:
|
[7] Ja. G. Sinai: On the notion of entropy of a dynamical system.(in Russian). Doklady AN SSSR 124 (1959), 768-771. MR 0103256 |
| Reference:
|
[8] Š. Šujan: Integral representation of the entropy rate.Studia Sci. Math. Hungarica 11 (1976) 25-36. MR 0545093 |
| Reference:
|
[9] Š. Šujan: A generalized coding problem for discrete information sources.Kybernetika 13 (1977), Supplement, 95 pp. MR 0465531 |
| Reference:
|
[10] Š. Šujan: Epsilon-Quantiles, Epsilon-Rates, and Source Coding Theorems.(submitted to EIK). |
| Reference:
|
[11] Š. Šujan: Ergodic theory and coding theorems for finitely additive invariant probabilities.Lecture held in October 1978 at Accademia Nazionale dei Lincei (text available upon request from the Accademia). |
| Reference:
|
[12] K. Winkelbauer: On discrete information sources.Trans. 3rd Prague Conf. on Inform. Theory etc., NČSAV, Prague 1964, 765-830. Zbl 0126.35702, MR 0166000 |
| Reference:
|
[13] K. Winkelbauer: On the asymptotic rate of non-ergodic information sources.Kybernetika 6 (1970), 127-148. Zbl 0245.94013, MR 0275979 |
| Reference:
|
[14] K. Winkelbauer: Non-smooth channels with additive random noise.Trans. 8th Prague Conf. on Inform. Theory etc. Vol. B, 365-381. Academia, Prague 1978. Zbl 0416.94008, MR 0536830 |
| . |
