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On exponential entropies

Authors: Tarald O. Kvålseth;

On exponential entropies

Abstract

As a number of information, an entropy has been defined as the weighted mean of a set of exponential functions involving the probabilities of a set of random events. The exponential entropy is claimed to have certain advantages over the classical Shannon entropy (C.E. Shannon, 1948). The article proposes two different generalizations of the exponential entropy, each of which represents a one-parameter generalization. Shannon's entropy is shown to be a particular member of one of these two new families of information measures. Some of the important properties of the new measures are discussed.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
11
Average
Top 10%
Average
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