## Entropies, dimensions et représentation d’observations.(French)Zbl 0441.94007

### MSC:

 94A17 Measures of information, entropy

### Keywords:

information theoretic measures
Full Text:

### References:

 [1] S. Arimoto: Information theoretical considerations on estimation problems. Information and Control 19 (1971), 181-184. · Zbl 0222.94022 [2] P. Billingsley: Hausdorff dimension in probability theory. Illinois Journ. of Math. 4 (1960), 190. · Zbl 0098.10602 [3] F. Hausdorff: Dimension und Äusseres. Mass. Math. Ann. 79 (1919), 157-179. · JFM 46.0292.01 [4] F. Hausdorff: Set theory. Chelsea publishing company. New York. · Zbl 1149.01022 [5] J. Havrda F. Charvát: Quantification method of classification processes, concept of structural a-entropy. Kybernetika / (1967), 3, 30-35. · Zbl 0178.22401 [6] J. Hawkes: Hausdorff measure, entropy and the independance of small sets. Proc. London Math. Soc. (3) 23 (1974), 700-724. · Zbl 0315.28001 [7] D. P. Mittal: New non-additive measures of entropy for a discrete probability distribution. · Zbl 0371.94039 [8] C. F. Picard: A propose des informations de type $$\alpha$$. Publication C.N.R.S. Structures de l’Information, n^\circ 3, 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. [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^\circ 276, 1977. · Zbl 0484.94013 [11] C. E. Shannon: A mathematical theory of communication. Bell System Tech. J. 27 (1948). · Zbl 1154.94303 [12] Th. Van der Pyl: Information d’ordre $$\alpha$$ et de type $$\beta$$: axiomatique, proprietes. Thèse 3^\circ Cycle, Université Paris VI, 1977.
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