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Extreme symmetry and the directed divergence in information theory. (English) Zbl 0548.94010
Summary: The authors have characterized the directed divergence axiomatically using extreme symmetry, a concept weaker than symmetry in the strict sense.
MSC:
94A17 Measures of information, entropy
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References:
[1] A. Hobson: A new theorem of information theory. J. Statist. Phys. 1 (1969), 383 - 391.
[2] D. K. Fadeev: On the concept of entropy of a finite probabilistic scheme. (in Russian). Uspehi Mat. Nauk 11 (7) (1956), 227-231. · Zbl 0071.13103
[3] J. Aczél, Z. Daróczy: On Measures of Information and Their Characterizations. Academic Press, New York 1975. · Zbl 0345.94022
[4] L. L. Campbell: Characterization of Entropy in Arbitrary Probability Spaces. Queen’s University Pre-print No. 32, Kingston. Canada 1970.
[5] P. Nath, M. M. Kaur: On some characterizations of the Shannon entropy using extreme symmetry and block-symmetry. Inform, and Control 53 (1982), 9 - 20. · Zbl 0511.94012 · doi:10.1016/S0019-9958(82)91069-5
[6] P. N. Rathie, PL. Kannappan: On a new characterization of the directed divergence in information theory. Trans. 6th Prague Conf. Inform. Theory etc., Academia, Prague 1973. · Zbl 0298.94032
[7] S. Kullback, R. A. Leibler: On information and sufficiency. Ann. Math. Statist. 22 (1951). 79-86. · Zbl 0042.38403 · doi:10.1214/aoms/1177729694
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