Some results concerning maximum Rényi entropy distributions
Oliver Johnson, Christophe Vignat (2007)
Annales de l'I.H.P. Probabilités et statistiques
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Some results concerning maximum Rényi entropy distributions
Time weighted entropies
Jörg Schmeling (2000)
Colloquium Mathematicae
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For invertible transformations we introduce various notions of topological entropy. For compact invariant sets these notions are all the same and equal the usual topological entropy. We show that for non-invariant sets these notions are different. They can be used to detect the direction in time in which the system evolves to highest complexity.
A note on characterizations of entropies
J. S. Chawla (1977)
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An entropy power inequality for the binomial family.
Harremoës, Peter, Vignat, Christophe (2003)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Shannon entropy: axiomatic characterization and application.
Chakrabarti, C.G., Chakrabarty, Indranil (2005)
International Journal of Mathematics and Mathematical Sciences
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Entropy considerations in the noncommutative setting.
Giurgescu, Patricia (2000)
International Journal of Mathematics and Mathematical Sciences
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A general class of entropy statistics
María Dolores Esteban (1997)
Applications of Mathematics
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To study the asymptotic properties of entropy estimates, we use a unified expression, called the -entropy. Asymptotic distributions for these statistics are given in several cases when maximum likelihood estimators are considered, so they can be used to construct confidence intervals and to test statistical hypotheses based on one or more samples. These results can also be applied to multinomial populations.