On the Solution of a Functional Equation Connected with Inaccuracy

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Authors

  • P. L. Kannappan
     University of Waterloo, Waterloo ,CA
  • P. N. Rathie
     I.I.T., Bombay ,BR

Abstract

In some special cases, helps in characterizing the measures of inaccuracy and this application is pointed out in the next section. The measures of inaccuracy generalize the concept of entropy in Communication theory and are useful in Coding theory, Information theory and Inference, etc.

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Published

1975-12-01

How to Cite

Kannappan, P. L., & Rathie, P. N. (1975). On the Solution of a Functional Equation Connected with Inaccuracy. The Journal of the Indian Mathematical Society, 39(1-4), 131–147. Retrieved from https://informaticsjournals.co.in/index.php/jims/article/view/16641

Issue

Volume 39, Issue 1-4, March-December 1975

Section

Articles

License

Copyright (c) 1975 P. L. Kannappan, P. N. Rathie

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

References

J. ACZEL, Lectures on functional educations and their applications. Academic Press, New York, 1966.

J. ACZEL, J. A. BAKER, D. Z. DJOKOVIC, PL. KANNAPPAN AND RADO, Extensions of certain homomorphisms of subsemigroups of groups, Aep. Math. 6,2/3, (1971), 263-271.

J. ACZEL, Z. DAROCZY. Measures of information and their characterizations, Academic Press (to appear).

Z. DAROCZY, Generalized information functions, Information and Control. 16, (1970), 36-51.

D. F. KERRIDGE, Inaccuracy and inference. /. Roy. Statits. Sac. B23 (1961), 184-194.

P. N. RATHIE AND PL. KANNAPPAN, An inaccuracy function of type p. (communicated for publication).

P. N. RATHIE AND PL. KANNAPPAN, On a functional equation connected with Shannon's entropy, Funkcialaj Ekvecioj, 14, (1971), 153-159.

A. RENYI, On measures of entropy and information, Proc. Fourth Berkeley Symposium Math. Statist, and Probability. 1 (1961), 547-561.

C. E. SHANNON, A mathematical theory of communication. Bell System Tech. J. 27 (1948), 378-423 and 623-656.