JuliaDynamics/ComplexityMeasures.jl

Implement `entropy_maximum` for `Kaniadakis` entropy

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#183 opened on Dec 16, 2022

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Description

Describe the feature you'd like to have

In #182 the Kaniadakis entropy was introduced. However, the book which gives the formula doesn't state for which discrete probability distribution it is maximised, so entropy_maximum just throws an error for now.

It would be nice to be able to compute the maximum discrete Kaniadakis entropy too.

Cite scientific papers related to the feature/algorithm

The formula for the maximum Kaniadakis entropy as a function of the number of samples is probably given in the literature somewhere, but I haven't seen it yet. A good starting point is to follow the references in Tsallis (2009) book, which gives the definition of Kaniadakis entropy.

Tsallis, C. (2009). Introduction to nonextensive statistical mechanics: approaching a complex world. Springer, 1(1), 2-1.

Contributor guide

Research direction
Search literature for the maximum of Kaniadakis entropy as a function of the number of samples. Start with the book by Tsallis (2009) and follow references on Kaniadakis entropy.
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3
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