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Majorisation, randomness and some discrete distributions

Published online by Cambridge University Press:  14 July 2016

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

Majorisation is used to compare discrete distributions in terms of randomness or, equivalently, informativeness. Some properties of measures of randomness are discussed. The effect on degree of randomness of a change in parameter value is investigated for some distributions including the binomial and Poisson.

Keywords

SCHUR CONCAVITYINFORMATIONUNCERTAINTY PARAMETER

Information

Type
Short Communications
Information
Journal of Applied Probability , Volume 20 , Issue 4 , December 1983, pp. 897 - 902
Copyright
Copyright © Applied Probability Trust 1983 

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References

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