Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-28T00:53:51.853Z Has data issue: false hasContentIssue false
  • English
  • Français

On functional equations and measures of information. II

Published online by Cambridge University Press:  14 July 2016

PL. Kannappan  and
C. T. Ng
PL. Kannappan*
Affiliation:
University of Waterloo
C. T. Ng*
Affiliation:
University of Waterloo
*
∗Postal address: Department of Pure Mathematics, Faculty of Mathematics, University of Waterloo, Waterloo, Ont. N2L 3G1, Canada.
∗Postal address: Department of Pure Mathematics, Faculty of Mathematics, University of Waterloo, Waterloo, Ont. N2L 3G1, Canada.
Get access Rights & Permissions [Opens in a new window]

Abstract

We derive the representation of additive measures of information with the sum property under a regular generating function. This family of measures includes the Shanon entropy, directed/symmetric divergence and inaccuracy.

Keywords

ENTROPYMEASURES OF INFORMATIONPROBABILITY DISTRIBUTIONSREPRESENTATION THEOREMADDITIVITYSUM PROPERTY
Type
Short Communications
Information
Journal of Applied Probability , Volume 17 , Issue 1 , March 1980 , pp. 271 - 277
Copyright
Copyright © Applied Probability Trust 1980 

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

Aczél, J. and Daróczy, Z. (1975) On Measures of Informations and Their Characterizations. Academic Press, New York.Google Scholar
Daróczy, Z. and Jarai, A. (1977) On the measurable solutions of a functional equation of the information theory.Google Scholar
Kannappan, Pl. and Ng, C. T. (1977) On functional equations and measures of information I. Publ. Math. Debrecen. To appear.Google Scholar