| Title:
|
On the asymptotic rate of non-ergodic information sources (English) |
| Title:
|
O asymptotické neurčitosti neergodických zdrojů informace (Czech) |
| Author:
|
Winkelbauer, Karel |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
6 |
| Issue:
|
2 |
| Year:
|
1970 |
| Pages:
|
(127)-148 |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| MSC:
|
94.10 |
| MSC:
|
94A15 |
| idZBL:
|
Zbl 0245.94013 |
| idMR:
|
MR0275979 |
| . |
| Date available:
|
2009-09-24T16:09:18Z |
| Last updated:
|
2012-06-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124906 |
| . |
| Reference:
|
[1] P. R. Halmos: Measure theory.New York 1950. Zbl 0040.16802, MR 0033869 |
| Reference:
|
[2] A. I. Khinchin: Mathematical foundations of information theory.Dover Publications, New York 1957. Zbl 0088.10404, MR 0092709 |
| Reference:
|
[3] N. Kryloff N. Bogoliouboff: La théorie générale de la mesure dans son application à l'étude des systèmes dynamique de la mécanique non linéaire.Ann. of Math. 38 (1937), 65-113. MR 1503326 |
| Reference:
|
[4] B. McMillan: The basic theorems of information theory.Ann. Math. Stat. 24 (1953), 196-219. Zbl 0050.35501, MR 0055621 |
| Reference:
|
[5] J. C. Oxtoby: Ergodic sets.Bull. Amer. Math. Soc. 58 (1952), 116-136. Zbl 0046.11504, MR 0047262 |
| Reference:
|
[6] K. R. Parthasarathy: On the integral representation of the rate of transmission of a stationary channel.Illinois Journ. of Math. 5 (1961), 2, 299-305. Zbl 0100.33903, MR 0121259 |
| Reference:
|
[7] K. R. Parthasarathy: A note on McMillan's theorem for countable alphabets.Transact. Third Prague Conf. on Inform. Theory etc., Prague 1964, 541-543. Zbl 0199.21401, MR 0166006 |
| Reference:
|
[8] K. R. Parthasarathy: Effective entropy rate and transmission of information through channels with additive random noise.Manuscript, 1962. MR 0173568 |
| Reference:
|
[9] A. Perez: Notions généralizées d'incertitude, d'entropie et d'information.Transact. First Prague Conf. on Inform. Theory etc., Prague 1957, 183-208. MR 0099889 |
| Reference:
|
[10] A. Perez: Sur la théorie de l'information dans le cas d'un alphabet abstrait.Transact. First Prague Conf. on Inform. Theory etc., Prague 1957, 209-243. Zbl 0106.33102, MR 0099890 |
| Reference:
|
[11] A. Perez: Extensions of Shannon-McMillan's limit theorem to more general stochastic processes.Transact. Third Prague Conf. on Inform. Theory etc., Prague 1964, 545-574. Zbl 0126.35703, MR 0165996 |
| Reference:
|
[12] V. A. Rohlin: New progress in the theory of transformation with invariant measure.(In Russian). Usp. matem. nauk 15 (1960), 3-26. MR 0132155 |
| Reference:
|
[13] C. E. Shannon: A mathematical theory of communication.Bell System Tech. Journ. 27 (1948), Part I, 379-423. Zbl 1154.94303, MR 0026286 |
| Reference:
|
[14] I. G. Sinal: On the flows with finite entropy.(In Russian). Dokl. Akad. Nauk 125 (1959), 6, 1200-1202. MR 0103257 |
| Reference:
|
[15] K. Winkelbauer: On discrete information sources.Transact. Third Prague Conf. on Inform. Theory etc., Prague 1964, 765-830. Zbl 0126.35702, MR 0166000 |
| Reference:
|
[16] K. Winkelbauer: Axiomatic definition of channel capacity and entropy rate.Transact. Fourth Prague Conf. on Inform. Theory etc., Prague 1967, 661-705. MR 0219351 |
| Reference:
|
[17] K. Winkelbauer: Channels with finite past history.Transact. Second Prague Conf. on Inform. Theory etc., Prague 1960, 685-831. Zbl 0161.16904, MR 0129056 |
| . |
