Results 1 to 10 of about 165 (112)

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
doaj   +1 more source

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

Additional Logarithmic Utility of an Insider [PDF]

, 1998
In this paper, we consider a security market in which two investors on di#erent information levels maximize their expected logarithmic utility from terminal wealth.
Amendinger, Jürgen, Schweizer, Martin, Amendinger, Juergen, Imkeller, Peter, Jürgen Amendinger, Martin Schweizer, Jäurgen Amendinger, Peter Imkeller   +7 more
core   +1 more source

Aggregation invariance in general clustering approaches

, 2009
Aggregation invariance, c-Means clustering, EM algorithm, Fuzzy clustering, Model-based clustering, Mutual information, 34K20, 62P99, 65K10, 82B26, 94A17, 94D05,
Bavaud, F., François Bavaud
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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

Minimum Description Length Principle in Discriminating Marginal Distributions [PDF]

, 2013
2010 Mathematics Subject Classification: 94A17, 62B10, 62F03.In this paper the MDL principle is explored in discriminating between a model with normal marginal distributions vs a model with Student-T marginal distributions.
Nonchev, Bono
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