Shannon entropy: axiomatic characterization and application.
Chakrabarti, C.G., Chakrabarty, Indranil (2005)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “An entropy power inequality for the binomial family.”
Shannon entropy: axiomatic characterization and application.
A new approach to mutual information
Fumio Hiai, Dénes Petz (2007)
Banach Center Publications
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A new expression as a certain asymptotic limit via "discrete micro-states" of permutations is provided for the mutual information of both continuous and discrete random variables.
A generalized residual information measure and its properties.
Baig, M.A.K., Dar, Javid Gani (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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On the modified entropy equation.
Gselmann, Eszter (2008)
Banach Journal of Mathematical Analysis [electronic only]
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A generalization of entropy equation: homogeneous entropies
Bhu Dev Sharma, R. P. Singh (1985)
Kybernetika
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A new approach to mutual information. II
Fumio Hiai, Takuho Miyamoto (2010)
Banach Center Publications
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A new concept of mutual pressure is introduced for potential functions on both continuous and discrete compound spaces via discrete micro-states of permutations, and its relations with the usual pressure and the mutual information are established. This paper is a continuation of the paper of Hiai and Petz in Banach Center Publications, Vol. 78.
Boltzmann-Gibbs entropy: Axiomatic characterization and application.
Chakrabarti, C.G., De, Kajal (2000)
International Journal of Mathematics and Mathematical Sciences
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∈-entropy of sets of probability distribution functions and their Fourier-Stieltjes transforms
Margrit Gauglhofer, A. T. Bharucha-Reid (1973)
Annales de l'I.H.P. Probabilités et statistiques
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A generalized Fannes' inequality.
Furuichi, S., Yanagi, K., Kuriyama, K. (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Complexity of infinite sequences with zero entropy
Christian Mauduit, Carlos Gustavo Moreira (2010)
Acta Arithmetica
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Maličky-Riečan's entropy as a version of operator entropy
Bartosz Frej (2006)
Fundamenta Mathematicae
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The paper deals with the notion of entropy for doubly stochastic operators. It is shown that the entropy defined by Maličky and Riečan in [MR] is equal to the operator entropy proposed in [DF]. Moreover, some continuity properties of the [MR] entropy are established.