# Article

 Title: On an axiomatic characterization of entropy of order $\alpha$ (theoretic measure) (English) Author: Khan, A. Basar Language: English Journal: Kybernetika ISSN: 0023-5954 Volume: 15 Issue: 4 Year: 1979 Pages: (293)-298 . Category: math . MSC: 62B10 MSC: 94A17 idZBL: Zbl 0424.94004 idMR: MR551573 . Date available: 2009-09-24T17:08:43Z Last updated: 2012-06-05 Stable URL: http://hdl.handle.net/10338.dmlcz/125196 . Reference: [1] L. L. Campbell: Characterization of entropy of probability distributions on real lines.Information and control 21 (1972), 329-338. MR 0323447 Reference: [2] A. Hobson: A new theorem of information theory.J. Stat. Phys. 1 (1969), 383-391. MR 0321609 Reference: [3] P. L. Kannappan: On Shannon entropy, directed divergence and inaccuracy.Z. Wahrs. verw. Geb. 22 (1972), 95-100. MR 0308635 Reference: [4] S. Kullback: Information theory and statistics.Dover Publications, Inc., New York (1959). Zbl 0088.10406, MR 0103557 Reference: [5] P. N. Rathie P. L. Kannappan: A directed divergence function of type $\beta$.Information and Control 20 (1972), 38-45. MR 0414234 Reference: [6] A. Rényi: On measures of entropy and informations.Proc. 4th Berkley Symposium on Probability and Stat., Berkley 1961, Vol. 1, 547-561. MR 0132570 Reference: [7] B. D. Sharma R. Autar: Relative information functions and their type ($\alpha$, $\beta$). Generalizations.Metrika 21 (1973). MR 0363704 Reference: [8] B. D. Sharma I. J. Taneja: On axiomatic characterization of information-theoretic measures.J. Statist. Phys. 10 (1974), 4, 337-346. MR 0403809 Reference: [9] I. Vajda: On the amount of information contained in a sequence of independent observations.Kybernetika 6 (1970), 4, 306-324. Zbl 0202.17802, MR 0301831 Reference: [10] I. Vajda: Limit theorem for total variation of Cartesian product measures.Studia Scientiarum Mathematicarum Hungarica 6 (1971), 317-333. MR 0310950 Reference: [11] C. T. Ng: Representation for measures of information with the branching property.Information and Control 25 (1974), 45-56. Zbl 0279.94018, MR 0342273 .

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