Hostname: page-component-586b7cd67f-r5fsc Total loading time: 0 Render date: 2024-11-22T05:04:03.713Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Ash, R. (1965) Information Theory. Wiley, New York.Google Scholar
Hardy, G. H., Littlewood, J. E. and Pólya, G. (1929) Some simple inequalities satisfied by convex functions. Messenger of Math. 58, 45–52.Google Scholar
Hardy, G. H., Littlewood, J. E., and Pólya, G. (1967) Inequalities. Cambridge University Press, London.Google Scholar
Hickey, R. J. (1982) A note on the measurement of randomness. J. Appl. Prob. 19, 229–232.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