# Weighted entropies

Open Mathematics (2010)

- Volume: 8, Issue: 3, page 602-615
- ISSN: 2391-5455

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topBruce Ebanks. "Weighted entropies." Open Mathematics 8.3 (2010): 602-615. <http://eudml.org/doc/269619>.

@article{BruceEbanks2010,

abstract = {We present an axiomatic characterization of entropies with properties of branching, continuity, and weighted additivity. We deliberately do not assume that the entropies are symmetric. The resulting entropies are generalizations of the entropies of degree α, including the Shannon entropy as the case α = 1. Such “weighted” entropies have potential applications to the “utility of gambling” problem.},

author = {Bruce Ebanks},

journal = {Open Mathematics},

keywords = {Entropy; Weighted additivity; System of functional equations; Utility of gambling; Weighted utility; Branching; weighted additivity; entropy; system of functional equations; utility of gambling; weighted utility; branching; Shannon entropy},

language = {eng},

number = {3},

pages = {602-615},

title = {Weighted entropies},

url = {http://eudml.org/doc/269619},

volume = {8},

year = {2010},

}

TY - JOUR

AU - Bruce Ebanks

TI - Weighted entropies

JO - Open Mathematics

PY - 2010

VL - 8

IS - 3

SP - 602

EP - 615

AB - We present an axiomatic characterization of entropies with properties of branching, continuity, and weighted additivity. We deliberately do not assume that the entropies are symmetric. The resulting entropies are generalizations of the entropies of degree α, including the Shannon entropy as the case α = 1. Such “weighted” entropies have potential applications to the “utility of gambling” problem.

LA - eng

KW - Entropy; Weighted additivity; System of functional equations; Utility of gambling; Weighted utility; Branching; weighted additivity; entropy; system of functional equations; utility of gambling; weighted utility; branching; Shannon entropy

UR - http://eudml.org/doc/269619

ER -

## References

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