Shannon entropy: axiomatic characterization and application.
Chakrabarti, C.G., Chakrabarty, Indranil (2005)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Displaying similar documents to “Some results concerning maximum Rényi entropy distributions”
Shannon entropy: axiomatic characterization and application.
Entropy considerations in the noncommutative setting.
Giurgescu, Patricia (2000)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Minimum entropy of error estimate for multi-dimensional parameter and finite-state-space observations
Antonín Otáhal (1995)
Kybernetika
Similarity:
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]
Similarity:
A new approach to mutual information
Fumio Hiai, Dénes Petz (2007)
Banach Center Publications
Similarity:
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.
Boltzmann-Gibbs entropy: Axiomatic characterization and application.
Chakrabarti, C.G., De, Kajal (2000)
International Journal of Mathematics and Mathematical Sciences
Similarity:
∈-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
Similarity:
On the modified entropy equation.
Gselmann, Eszter (2008)
Banach Journal of Mathematical Analysis [electronic only]
Similarity:
Entropy jumps for isotropic log-concave random vectors and spectral gap
Keith Ball, Van Hoang Nguyen (2012)
Studia Mathematica
Similarity:
We prove a quantitative dimension-free bound in the Shannon-Stam entropy inequality for the convolution of two log-concave distributions in dimension d in terms of the spectral gap of the density. The method relies on the analysis of the Fisher information production, which is the second derivative of the entropy along the (normalized) heat semigroup. We also discuss consequences of our result in the study of the isotropic constant of log-concave distributions (slicing problem). ...