Title:
|
Entropies, dimensions et représentation d'observations (French) |
Title:
|
Enthropies, dimmensions and representations of observations (English) |
Author:
|
Sallantin, Jean |
Author:
|
Van der Pyl, Thierry |
Language:
|
French |
Journal:
|
Kybernetika |
ISSN:
|
0023-5954 |
Volume:
|
15 |
Issue:
|
4 |
Year:
|
1979 |
Pages:
|
(299)-315 |
. |
Category:
|
math |
. |
MSC:
|
94A15 |
MSC:
|
94A17 |
idZBL:
|
Zbl 0441.94007 |
idMR:
|
MR551574 |
. |
Date available:
|
2009-09-24T17:08:51Z |
Last updated:
|
2012-06-05 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125197 |
. |
Reference:
|
[1] S. Arimoto: Information theoretical considerations on estimation problems.Information and Control 19 (1971), 181-184. Zbl 0222.94022, MR 0309224 |
Reference:
|
[2] P. Billingsley: Hausdorff dimension in probability theory.Illinois Journ. of Math. 4 (1960), 190. Zbl 0098.10602, MR 0131903 |
Reference:
|
[3] F. Hausdorff: Dimension und Äusseres.Mass. Math. Ann. 79 (1919), 157-179. MR 1511917 |
Reference:
|
[4] F. Hausdorff: Set theory.Chelsea publishing company. New York. Zbl 1149.01022, MR 0141601 |
Reference:
|
[5] J. Havrda F. Charvát: Quantification method of classification processes, concept of structural a-entropy.Kybernetika / (1967), 3, 30-35. MR 0209067 |
Reference:
|
[6] J. Hawkes: Hausdorff measure, entropy and the independance of small sets.Proc. London Math. Soc. (3) 23 (1974), 700-724. MR 0352412 |
Reference:
|
[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.) |
Reference:
|
[8] C. F. Picard: A propose des informations de type $\alpha$.Publication C.N.R.S. Structures de l'Information, n° 3, 1975. |
Reference:
|
[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. MR 0132570 |
Reference:
|
[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. |
Reference:
|
[11] C. E. Shannon: A mathematical theory of communication.Bell System Tech. J. 27 (1948). Zbl 1154.94303, MR 0026286 |
Reference:
|
[12] Th. Van der Pyl: Information d'ordre $\alpha$ et de type $\beta$: axiomatique, proprietes.Thèse 3° Cycle, Université Paris VI, 1977. |
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