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On some functional equations concerning entropy, directed divergence and inaccuracy

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Abstract

This paper deals with the characterizations of some measures of entropy, inaccuracy and directed—divergence by means of functional equations.

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References

  • Aczél, J.: Lectures on Functional equations and their applications, Academic Press, New York and London, 1966.

    Google Scholar 

  • Chaundy, T. W., andJ. B. McLeod: On a functional equation, Edin. Math. Notes43, 7–8, 1960.

    Google Scholar 

  • Daróczy, Z.: Generalized Information Functions, Information and Control,16 (1), 36–51, 1970.

    Google Scholar 

  • Havrda, J., andF. Charvát: Quantification method of Classification Processes. The concept of structural α-entropy, Kybernetika,3, 30–35, 1967.

    Google Scholar 

  • Kannappan, Pl.: On Shannon's Entropy, Directed Divergence and Inaccuracy, Z. für Wahrscheinlichkeitstheorie und verw. Geb.22, 95–100, 1972.

    Google Scholar 

  • Kerridge, D. F.: Inaccuracy and Inference. J. Roy. Statist. Soc. B.23, 184–194, 1961.

    Google Scholar 

  • Kullback, S.: Information Theory and statistics, Wiley, New York 1959.

    Google Scholar 

  • Shannon, C. E.: A mathematical theory of communication. Bell System Tech. J.27, 379–423, 623–658, 1948.

    Google Scholar 

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Authors and Affiliations

  1. Faculty of Mathematics, Delhi University, 110007, Delhi, India

    D. P. Mittal

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  1. D. P. Mittal
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Mittal, D.P. On some functional equations concerning entropy, directed divergence and inaccuracy. Metrika 22, 35–45 (1975). https://doi.org/10.1007/BF01899712

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  • DOI: https://doi.org/10.1007/BF01899712

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