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arXiv · 1007.4729

A link between the maximum entropy approach and the variational entropy form

E. V. Vakarin·J. P. Badiali
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Abstract

The maximum entropy approach operating with quite general entropy measure and constraint is considered. It is demonstrated that for a conditional or parametrized probability distribution $f(x|μ)$ there is a "universal" relation among the entropy rate and the functions appearing in the constraint. It is shown that the recently proposed variational formulation of the entropic functional can be obtained as a consequence of this relation, that is from the maximum entropy principle. This resolves certain puzzling points appeared in the variational approach.

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BibTeXRIS

E. V. Vakarin, J. P. Badiali. 2010-07-27. A link between the maximum entropy approach and the variational entropy form. https://doi.org/10.1142/s0217984911027054

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