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Axiomatic characterizations of some measures of divergence in information. (English) Zbl 0221.94032


MSC:

94A17 Measures of information, entropy
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[1] Aczél, J., Lectures on functional equations and their applications (1966), New York: Academic Press, New York · Zbl 0139.09301
[2] Kerridge, D. F., Inaccuracy and inference, J. roy. statist. Soc. Ser, B, 184-194 (1961) · Zbl 0112.10302
[3] Kullback, S., Information theory and statistics (1959), New York: J. Wiley & Sons, New York · Zbl 0149.37901
[4] Moszner, Z., Solution 1 of problem 49, Aequationes math., 4, 258 (1970)
[5] Nath, P., On the measures of errors in information, J. math. Sci. Delhi, 3, 1-16 (1968) · Zbl 0187.16901
[6] Rényi, A., On measures of entropy and information, Proc. Fourth Berkeley Sympos. math. Statist. Probab. 1960, 1, 547-561 (1961) · Zbl 0106.33001
[7] Rényi, A., Wahrscheinlichkeitsrechnung. Anhang: Einführung in die Informationstheorie. § 8 (1962), Berlin: D.V.W., Berlin · Zbl 0102.34403
[8] Zariski, O.; Samuel, P., Commutative algebra I (1958), Princeton: Van Nostrand, Princeton · Zbl 0081.26501
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