Results 1 to 10 of about 81 (80)

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

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
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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

Statistical Inference of Weighted Extropy Under Outlier Influence: An MCMC Approach with Data Applications

Scientific African
Extropy has recently become a focal point of study as a measure of uncertainty in probability distributions and serves as the dual complement to entropy.
Amal S. Hassan, Eslam Abdelhakim Seyam, Said G. Nassr, Rokaya Elmorsy Mohamed   +3 more
doaj   +1 more source

New Jensen's bounds for HA-convex mappings with applications to Shannon entropy

Demonstratio Mathematica
The aim of this article is to establish some new extensions and variants of Jensen’s discrete and Simic-type inequalities for HA-convex and uniformly HA-convex functions.
Sayyari Yamin, Butt Saad Ihsan, Dehghanian Mehdi, Agarwal Praveen, Nieto Juan J.   +4 more
doaj   +1 more source

Metric properties of partial and robust Gromov-Wasserstein distances

Analysis and Geometry in Metric Spaces
The Gromov-Wasserstein (GW) distances define a family of metrics, based on ideas from optimal transport, which enable comparisons between probability measures defined on distinct metric spaces.
Chhoa Jannatul, Ivanitskiy Michael, Jiang Fushuai, Li Shiying, McBride Daniel, Needham Tom, O’Hare Kaiying   +6 more
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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

Weighted entropies

Open Mathematics, 2010
Ebanks Bruce
doaj   +1 more source