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Inaccuracy and a coding theorem

Published online by Cambridge University Press:  14 July 2016

Ram Autar
Affiliation:
University of Delhi
Raminder Singh Soni
Affiliation:
University of Delhi

Abstract

Kerridge introduced a measure known as inaccuracy for complete probability distributions which is the generalisation of Shannon's entropy. In this paper we study a grouping property of the inaccuracy. Also we have established a coding theorem for personal codes by considering inaccuracy of order a and generalised mean length of order t under the condition .

Type
Short Communications
Copyright
Copyright © Applied Probability Trust 1975 

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References

[1] Campbell, L. L. (1965) A coding theorem and Rényi's entropy. Inf. and Control 8, 423429.Google Scholar
[2] Feinstein, A. (1958) Foundations of Information Theory. McGraw-Hill, New York.Google Scholar
[3] Hardy, G. H. Littlewood, J. E. and Polya, G. (1952) Inequalities. Cambridge University Press.Google Scholar
[4] Kerridge, D. F. (1961) Inaccuracy and inference. J. R. Statist. Soc. B 23, 184194.Google Scholar
[5] Rényi, A. (1961) On measures of entropy and information. Proc. Fourth Berkeley Symp. Math. Statist. Prob. 1, 547561.Google Scholar
[6] Shannon, C. E. (1948) A mathematical theory of communication. Bell System Tech. J. 27, 379423.Google Scholar
[7] Sharma, B. D. (1970) The mean value study of quantities in information theory. Ph.D. Thesis, University of Delhi.Google Scholar