Results 21 to 30 of about 548 (63)

Entropy and a generalisation of `Poincare's Observation'

, 2002
Consider a sphere of radius root(n) in n dimensions, and consider X, a random variable uniformly distributed on its surface. Poincare's Observation states that for large n, the distribution of the first k coordinates of X is close in total variation ...
Johnson, Oliver
core   +1 more source

Optimal Concentration of Information Content For Log-Concave Densities

, 2015
An elementary proof is provided of sharp bounds for the varentropy of random vectors with log-concave densities, as well as for deviations of the information content from its mean.
A. Prékopa, A. Vaart van der, B. Klartag, B. Klartag, B. Klartag, C. Borell, D. Cordero-Erausquin, G. Bennett, G. Hargé, J.A. Wellner, L. Wang, M. Fradelizi, O. Guédon, R. Eldan, S. Bobkov, S. Bobkov, S. Bobkov, S. Boyd, V.H. Nguyen   +18 more
core   +1 more source

An entropic uncertainty principle for positive operator valued measures

, 2011
Extending a recent result by Frank and Lieb, we show an entropic uncertainty principle for mixed states in a Hilbert space relatively to pairs of positive operator valued measures that are independent in some sense.
D. Petz, E.B. Davies, J. Dolbeault, L. Erdős, M. Rumin, M.A. Nielsen, M.D. Choi, Michel Rumin, R. Bhatia, R.S. Strichartz   +9 more
core   +1 more source

An alternate measure of the cumulative residual Sharma-Taneja-Mittal entropy

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
We define a new alternate measure of the cumulative residual Sharma-Taneja-Mittal entropy. For this measure, there are given upper and lower bounds, is introduced a consistent test based on the uniform distribution and some concrete numerical examples ...
Sfetcu Răzvan-Cornel, Robe-Voinea Elena-Graµiela, ŞErban Florentin   +2 more
doaj   +1 more source

Complexities of information sources. [PDF]

J Appl Stat, 2023
Sayyari Y, Molaei MR, Mehrpooya A.
europepmc   +1 more source

Logical Entropy of Information Sources. [PDF]

Entropy (Basel), 2022
Xu P, Sayyari Y, Butt SI.
europepmc   +1 more source

Kernel Estimation of Cumulative Residual Tsallis Entropy and Its Dynamic Version under ρ-Mixing Dependent Data. [PDF]

Entropy (Basel), 2021
Irshad MR, Maya R, Buono F, Longobardi M.   +3 more
europepmc   +1 more source

Refined Young Inequality and Its Application to Divergences. [PDF]

Entropy (Basel), 2021
Furuichi S, Minculete N.
europepmc   +1 more source

Bayesian estimation of extropy and goodness of fit tests. [PDF]

J Appl Stat, 2022
Al-Labadi L, Berry S.
europepmc   +1 more source

Inequalities for Jensen-Sharma-Mittal and Jeffreys-Sharma-Mittal Type f-Divergences. [PDF]

Entropy (Basel), 2021
Kluza PA.
europepmc   +1 more source