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The branching property in generalized information theory

Published online by Cambridge University Press:  01 July 2016

Bruce Ebanks
Bruce Ebanks*
Affiliation:
Texas Tech University
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Abstract

It is shown that every measure of expected information which has the branching property is of the form where J is a given information measure which is compositive under a regular binary operation and the Ψn are antisymmetric, bi-additive functions. In a probability space, such measures (entropies) take the form

Keywords

INFORMATION MEASURECOMPOSITIVEREGULAR BINARY OPERATIONORDERED TOPOLOGICAL SEMIGROUPENTROPYBRANCHING PROPERTYPROBABILITY SPACE
Type
Research Article
Information
Advances in Applied Probability , Volume 10 , Issue 4 , December 1978 , pp. 788 - 802
Copyright
Copyright © Applied Probability Trust 1978 

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