Epsilon-rates, epsilon-quantiles, and group coding theorems for finitely additive information sources

Štefan Šujan

Kybernetika (1980)

  • Volume: 16, Issue: 2, page (105)-119
  • ISSN: 0023-5954

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Šujan, Štefan. "Epsilon-rates, epsilon-quantiles, and group coding theorems for finitely additive information sources." Kybernetika 16.2 (1980): (105)-119. <http://eudml.org/doc/28751>.

@article{Šujan1980,
author = {Šujan, Štefan},
journal = {Kybernetika},
keywords = {finitely additive information source; block coding entropy; group codes; almost noiseless coding},
language = {eng},
number = {2},
pages = {(105)-119},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Epsilon-rates, epsilon-quantiles, and group coding theorems for finitely additive information sources},
url = {http://eudml.org/doc/28751},
volume = {16},
year = {1980},
}

TY - JOUR
AU - Šujan, Štefan
TI - Epsilon-rates, epsilon-quantiles, and group coding theorems for finitely additive information sources
JO - Kybernetika
PY - 1980
PB - Institute of Information Theory and Automation AS CR
VL - 16
IS - 2
SP - (105)
EP - 119
LA - eng
KW - finitely additive information source; block coding entropy; group codes; almost noiseless coding
UR - http://eudml.org/doc/28751
ER -

References

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  2. N. Dunford J. T. Schwartz, Linear Operators. Part I, Interscience, New York 1957. (1957) 
  3. I. D. McDonald, The Theory of Groups, Clarendon Press, Oxford 1968. (1968) MR0244355
  4. R. A. Olshen, Representing finitely additive invariant probabilities, Ann. Math. Stat. 39 (1968), 2131-2135. (1968) Zbl0185.44203MR0239633
  5. J. C. Oxtoby, Ergodic sets, Bull. AMS 58 (1952), 116-136. (1952) Zbl0046.11504MR0047262
  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. (1964) Zbl0199.21401MR0166006
  7. Ja. G. Sinai, On the notion of entropy of a dynamical system, (in Russian). Doklady AN SSSR 124 (1959), 768-771. (1959) MR0103256
  8. Š. Šujan, Integral representation of the entropy rate, Studia Sci. Math. Hungarica 11 (1976) 25-36. (1976) MR0545093
  9. Š. Šujan, A generalized coding problem for discrete information sources, Kybernetika 13 (1977), Supplement, 95 pp. (1977) MR0465531
  10. Š. Šujan, Epsilon-Quantiles, Epsilon-Rates, and Source Coding Theorems, (submitted to EIK). 
  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). (1978) 
  12. K. Winkelbauer, On discrete information sources, Trans. 3rd Prague Conf. on Inform. Theory etc., NČSAV, Prague 1964, 765-830. (1964) Zbl0126.35702MR0166000
  13. K. Winkelbauer, On the asymptotic rate of non-ergodic information sources, Kybernetika 6 (1970), 127-148. (1970) Zbl0245.94013MR0275979
  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. (1978) Zbl0416.94008MR0536830

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