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On axiomatic characterization of some non-additive measures of information. (English) Zbl 0361.94037

##### MSC:
 94A15 Information theory (general)
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##### References:
 [1] Aczel, J.: Lectures on Functional Equations and their Applications, New York 1966. [2] Havrda, J., andF. Charvat: Quantification method of classification processes, the concept of structural $$\alpha$$-entropy. Kybernetika3, S. 30–35, 1967. · Zbl 0178.22401 [3] Kapur, J.N.: Generalized entropy of order $$\alpha$$ and type $$\beta$$. Math. Seminar, Delhi4, S. 78–94, 1967. · Zbl 0153.48601 [4] Kerridge, D.F.: Inaccuracy and Inference, J. Royal Stat. Soc. B,23, S. 184–194, 1961. · Zbl 0112.10302 [5] Kullback, S.: Information Theory and Statistics, Inc. New York 1959. · Zbl 0088.10406 [6] Nath, P.: Some Axiomatic characterization of a non-additive measures of Divergence in Information, R.S. Varma memo. Vol. Jou. Math. Sci. S. 157–168, 1972. [7] Mathai, A.M., andP.N. Rathie: Axiomatic Foundation of some basic concept in Information Theory and Statistics. [8] Renyi, A.: On measures of entropy and information, Proc. 4th Berk. Symp. Math. Stat. and Prob.1, S. 547–561, 1961. [9] Shannon, C.E.: A mathematical theory of communication, Bel Sys. Tech. J.27, S. 379–423, S. 623–656, 1948. · Zbl 1154.94303 [10] Shannon, C.E., andW. Weaver: The mathematical theory of Communication, University of Illinois Press, 1949. · Zbl 0041.25804 [11] Sharna, B.D., andR. Autar: On characterization of a generalized inaccuracy measure in Information Theory. Jour. of Applied Prob. 10, S. 464–468, 1973. · Zbl 0261.94024 · doi:10.2307/3212366 [12] Vajda, I.: Axioms for $$\alpha$$-entropy of a Generalized Probability Scheme. Kybernetika Vol.4, S. 105–112, 1968. · Zbl 0193.48201
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