On axiomatic characterization of information-theoretic measure type $\left( \begin{array}{cc} \alpha \beta \\ \gamma \delta \end{array} \right)$
Kybernetika, Tome 15 (1979) no. 3, pp. 204-214 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 39B99, 94A17
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Taneja, I. J.; Gupta, H. C. On axiomatic characterization of information-theoretic measure type $\left( \begin{array}{cc} \alpha & \beta \\ \gamma & \delta \end{array} \right)$. Kybernetika, Tome 15 (1979) no. 3, pp. 204-214. http://geodesic.mathdoc.fr/item/KYB_1979_15_3_a2/

[1] T. W. Chaundy J. B. McLeod: On a functional equation. Proc. Edin. Math. Soc. Edin. Math. Notes 43 (1960-61), 6-7. | MR

[2] Z. Daróczy: Generalized information functions. Information and Control 11 (1970), 36-51. | MR

[3] A. Feinstein: Foundations of Information Theory. McGraw-Hill, New York 1958. | MR | Zbl

[4] J. Havrda F. Charvát: Quantification method of classification processes, concept of structural a-entropy. Kybernetika 3 (1967), 30 - 35. | MR

[5] D. F. Kerridge: Inaccuracy and inference. J. Royal Stat. Soc. Ser. B 23 (1961), 1, 184-194. | MR | Zbl

[6] A. I. Khinchine: Mathematical Foundations in Information Theory. Dover Publication, Inc., New York 1958.

[7] S. Kullback: Information Theory and Statistics. Dover Pub. Inc., New York 1968. | MR

[8] C. E. Shannon: A mathematical theory of communication. Bell System Tech. J. 27 (1948), 379-423, 623-656. | MR | Zbl

[9] B. D. Sharma R. Autar: On characterization of a generalized inaccuracy measure in information theory. J. Appl. Prob. 10 (1973), 464-468. | MR

[10] B. D. Sharma R. Autar: Relative-information functions and their type ($\alpha$, $\beta$) generalizations. Metrika 21 (1974), 41-50. | MR

[11] B. D. Sharma H. C. Gupta: Sub-additive measures of relative-information, and inaccuracy. Metrika 23 (1976), 155-165. | MR

[12] B. D. Sharma I. J. Taneja: On axiomatic characterization of information-theoretic measures. J. Stat. Phys. 10 (1974), 337-346. | MR

[13] B. D. Sharma I. J. Taneja: Entropy of type ($\alpha$, $\beta$) and other generalized measures in information theory. Metrika 22 (1975), 205 - 215. | MR

[14] I. J. Taneja: On the branching property of entropy. Annales Polonici Mathematici 35 (1977), 67-75. | MR | Zbl

[15] I. J. Taneja H. C. Gupta: On generalized measures of relative-information and inaccuracy. Aplikace matematiky 23 (1978). | MR

[16] I. Vajda: Axioms for a-entropy of generalized probability scheme. Kybernetika 4 (1968), 2, 105-112. | MR