Results 1 to 10 of about 564 (79)

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

J Appl Stat, 2022
Al-Labadi L, Berry S.
europepmc   +2 more sources

Entropy- A Tale of Ice and Fire

Annals of the West University of Timisoara: Mathematics and Computer Science, 2023
In this review paper, we recall, in a unifying manner, our recent results concerning the Lie symmetries of nonlinear Fokker-Plank equations, associated to the (weighted) Tsallis and Kaniadakis entropies.
Hirica Iulia-Elena, Pripoae Cristina-Liliana, Pripoae Gabriel-Teodor, Preda Vasile   +3 more
doaj   +1 more source

A new refinement of Jensen’s inequality with applications in information theory

Open Mathematics, 2020
In this paper, we present a new refinement of Jensen’s inequality with applications in information theory. The refinement of Jensen’s inequality is obtained based on the general functional in the work of Popescu et al.
Xiao Lei, Lu Guoxiang
doaj   +1 more source

Characterizations of generalized entropy functions by functional equations [PDF]

, 2010
We shall show that a two-parameter extended entropy function is characterized by a functional equation. As a corollary of this result, we obtain that the Tsallis entropy function is characterized by a functional equation, which is a different form used ...
Furuichi, Shigeru
core   +3 more sources

Refinement of the Jensen integral inequality

Open Mathematics, 2016
In this paper we give a refinement of Jensen’s integral inequality and its generalization for linear functionals. We also present some applications in Information Theory.
Sever Dragomir Silvestru, Adil Khan Muhammad, Abathun Addisalem   +2 more
doaj   +1 more source

Majorization, “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law

Open Mathematics, 2018
In this paper, we consider the definition of “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law associated with the real utility distribution to give the results for majorizatioQn inequalities by using monotonic sequences.
Latif Naveed, Pečarić Đilda, Pečarić Josip   +2 more
doaj   +1 more source

Entropy of a bit-shift channel [PDF]

, 2006
We consider a simple transformation (coding) of an iid source called a bit-shift channel. This simple transformation occurs naturally in magnetic or optical data storage. The resulting process is not Markov of any order.
Baggen, Stan, Balakirsky, Vladimir, Denteneer, Dee, Egner, Sebastian, Hollmann, Henk, Tolhuizen, Ludo, Verbitskiy, Evgeny   +6 more
core   +6 more sources

New bounds for Shannon, Relative and Mandelbrot entropies via Hermite interpolating polynomial

Demonstratio Mathematica, 2018
To procure inequalities for divergences between probability distributions, Jensen’s inequality is the key to success. Shannon, Relative and Zipf-Mandelbrot entropies have many applications in many applied sciences, such as, in information theory, biology
Mehmood Nasir, Butt Saad Ihsan, Pečarić Ðilda, Pečarić Josip   +3 more
doaj   +1 more source

Some inequalities on generalized entropies [PDF]

, 2011
We give several inequalities on generalized entropies involving Tsallis entropies, using some inequalities obtained by improvements of Young's inequality.
A El-Barakaty, A Rényi, C Tsallis, C Tsallis, C Tsallis, C Tsallis, DI Cartwright, EW Weisstein, F Kittaneh, FC Mitroi, Flavia-Corina Mitroi, I Csiszár, I Csiszár, I Csiszár, J Aczél, JM Aldaz, JM Aldaz, L-H Sun, M Masi, M Sebawe Abdalla, N Minculete, N Minculete, N Minculete, Nicuşor Minculete, S Boucheron, S Dragomir, S Furuichi, S Furuichi, S Furuichi, S Furuichi, S Furuichi, S Furuichi, S Furuichi, S Furuichi, S Furuichi, S Furuichi, S Furuichi, S Furuichi, S Furuichi, Shigeru Furuichi, T Han, TM Cover, Z Daróczy, Z Ficek   +43 more
core   +2 more sources

A conditional Entropy Power Inequality for dependent variables

, 2001
We provide a condition under which a version of Shannon's Entropy Power Inequality will hold for dependent variables.
Johnson, Oliver
core   +1 more source