Previous |  Up |  Next

Article

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.
.

Files

Files Size Format View
Kybernetika_15-1979-4_5.pdf 774.6Kb application/pdf View/Open
Back to standard record
Partner of
EuDML logo