×
Sallantin, Jean; van der Pyl, Thierry

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

Kybernetika 15, 299-315 (1979).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 Show Scanned Page
scan of Zbl 0441.94007

MSC:

94A17 Measures of information, entropy

Keywords:

information theoretic measures
PDF BibTeX XML Cite
\textit{J. Sallantin} and \textit{T. van der Pyl}, Kybernetika 15, 299--315 (1979; Zbl 0441.94007)
Full Text: EuDML
  • logo of hbz
  • logo of WorldCat

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.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.