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A note on the measurement of randomness

Published online by Cambridge University Press:  14 July 2016

Raymond J. Hickey
Raymond J. Hickey*
Affiliation:
New University of Ulster
*
∗Postal address: Department of Mathematics, The New University of Ulster, Coleraine, Co. Londonderry, Northern Ireland BT52 1SA.
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Abstract

The properties of a measure of randomness on the class of discrete probability distributions are discussed. A result concerning finiteness is obtained for a family of measures which includes the entropy function.

Keywords

ENTROPYMAJORISATIONSCHUR CONCAVITYRANDOMNESS
Type
Short Communications
Information
Journal of Applied Probability , Volume 19 , Issue 1 , March 1982 , pp. 229 - 232
Copyright
Copyright © Applied Probability Trust 1982 

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References

Marshall, A. W. and Olkin, I. (1979) Inequalities: The Theory of Majorisation and its Applications. Academic Press, New York.Google Scholar
Rényi, A. (1970) Probability Theory. North-Holland, Amsterdam.Google Scholar
Shannon, C. E. and Weaver, W. (1964) The Mathematical Theory of Communication. University of Illinois Press, Urbana.Google Scholar