Enthropies, dimmensions and representations of observations

Jean Sallantin; Thierry Pyl

Kybernetika (1979)

  • Volume: 15, Issue: 4, page (299)-315
  • ISSN: 0023-5954

How to cite

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Sallantin, Jean, and Pyl, Thierry. "Entropies, dimensions et représentation d'observations." Kybernetika 15.4 (1979): (299)-315. <http://eudml.org/doc/28352>.

@article{Sallantin1979,
author = {Sallantin, Jean, Pyl, Thierry},
journal = {Kybernetika},
keywords = {information theoretic measures},
language = {fre},
number = {4},
pages = {(299)-315},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Entropies, dimensions et représentation d'observations},
url = {http://eudml.org/doc/28352},
volume = {15},
year = {1979},
}

TY - JOUR
AU - Sallantin, Jean
AU - Pyl, Thierry
TI - Entropies, dimensions et représentation d'observations
JO - Kybernetika
PY - 1979
PB - Institute of Information Theory and Automation AS CR
VL - 15
IS - 4
SP - (299)
EP - 315
LA - fre
KW - information theoretic measures
UR - http://eudml.org/doc/28352
ER -

References

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  1. S. Arimoto, Information theoretical considerations on estimation problems, Information and Control 19 (1971), 181-184. (1971) Zbl0222.94022MR0309224
  2. P. Billingsley, Hausdorff dimension in probability theory, Illinois Journ. of Math. 4 (1960), 190. (1960) Zbl0098.10602MR0131903
  3. F. Hausdorff, Dimension und Äusseres, Mass. Math. Ann. 79 (1919), 157-179. (1919) MR1511917
  4. F. Hausdorff, Set theory, Chelsea publishing company. New York. Zbl1149.01022MR0141601
  5. J. Havrda F. Charvát, Quantification method of classification processes, concept of structural a-entropy, Kybernetika / (1967), 3, 30-35. (1967) MR0209067
  6. J. Hawkes, Hausdorff measure, entropy and the independance of small sets, Proc. London Math. Soc. (3) 23 (1974), 700-724. (1974) MR0352412
  7. D. P. Mittal, New non-additive measures of entropy for a discrete probability distribution, (Conferences on measures of information and their applications, held in I. T. T. Bombay, 16-18 August 1974.) (1974) 
  8. C. F. Picard, A propose des informations de type α , Publication C.N.R.S. Structures de l'Information, n° 3, 1975. (1975) 
  9. A. Rényi, On measures of informations and entropy, Proc. 4 Berkeley Symp. Math. Statist., Probability, 1960, 1, 547 - 561. University of California Press, 1961. (1960) MR0132570
  10. J. Sallantin, Approche commune de différents modeles en théorie de l'information, Developpements récents de la Théorie de l'information et ses applications. Colloque International du C.N.R.S., n° 276, 1977. (1977) 
  11. C. E. Shannon, A mathematical theory of communication, Bell System Tech. J. 27 (1948). (1948) Zbl1154.94303MR0026286
  12. Th. Van der Pyl, Information d’ordre α et de type β : axiomatique, proprietes, Thèse 3° Cycle, Université Paris VI, 1977. (1977) 

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