Article contents
Polynomially additive entropies
Published online by Cambridge University Press: 14 July 2016
Abstract
This paper introduces a property of entropies called polynomial additivity, which includes the additivity properties of the Shannon entropy and of entropies of all degrees. The forms of all such entropies with the sum property and range of infinite cardinality are found. Of these, the only ones with the measurable sum property are affine transformations of the Shannon entropy, the entropies of all degrees, and the length of the distribution.
Keywords
- Type
- Short Communications
- Information
- Copyright
- Copyright © Applied Probability Trust 1984
References
- 1
- Cited by