Results 91 to 100 of about 11,294 (222)

Two Types of q‐Gaussian Distributions Used to Study the Diffusion in a Finite Region

Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 13192-13201, September 2025.
ABSTRACT In this work, we explore both the ordinary q$$ q $$‐Gaussian distribution and a new one defined here, determining both their mean and variance, and we use them to construct solutions of the q$$ q $$‐deformed diffusion differential equation. This approach allows us to realize that the standard deviation of the distribution must be a function of
Won Sang Chung, L. M. Nieto, Soroush Zare, Hassan Hassanabadi   +3 more
wiley   +1 more source

Temporal extensivity of Tsallis’ entropy and the bound on entropy production rate [PDF]

Physical Review E, 2006
The Tsallis entropy, which is a generalization of the Boltzmann-Gibbs entropy, plays a central role in nonextensive statistical mechanics of complex systems. A lot of efforts have recently been made on establishing a dynamical foundation for the Tsallis entropy. They are primarily concerned with nonlinear dynamical systems at the edge of chaos.
Abe, Sumiyoshi, Nakada, Yutaka
openaire   +3 more sources

A Novel Inverse Statistical Model for Lifetime and Reliability Analysis

Engineering Reports, Volume 7, Issue 8, August 2025.
This paper introduces and studies the inverse Mustapha type‐II distribution (IMUIID), a new model obtained through the inverse transformation of the Mustapha type‐II distribution. The IMUIID is defined on the positive real line and offers enhanced flexibility in modeling lifetime and reliability data, particularly where traditional models may fail to ...
Tamer K. Ibrahim, Ibrahim E. Ragab, Selasi Kwaku Ocloo, Ahmed M. Gemeay   +3 more
wiley   +1 more source

A NEW GENERALIZED VARENTROPY AND ITS PROPERTIES

Ural Mathematical Journal, 2020
The variance of Shannon information related to the random variable \(X\), which is called varentropy, is a measurement that indicates, how the information content of \(X\) is scattered around its entropy and explains its various applications in ...
Saeid Maadani, Gholam Reza Mohtashami Borzadaran, Abdol Hamid Rezaei Roknabadi   +2 more
doaj   +1 more source

Average Entropy of a Subsystem from its Average Tsallis Entropy

, 2002
In the nonextensive Tsallis scenario, Page's conjecture for the average entropy of a subsystem[Phys. Rev. Lett. {\bf 71}, 1291(1993)] as well as its demonstration are generalized, i.e., when a pure quantum system, whose Hilbert space dimension is $mn ...
A. Einstein, A. K. Rajagopal, A. K. Rajagopal, A. Lavagno, A. M. Salzberg, A. Peres, A. Plastino, A. R. Plastino, A. R. Plastino, A. Vidiella-Barranco, A. Vidiella-Barranco, B. H. Lavenda, B. H. Lavenda, B. H. Lavenda, B. M. Boghosian, C. Beck, C. Tsallis, C. Tsallis, C. Tsallis, C. Tsallis, C. Tsallis, C. Tsallis, D. N. Page, D. N. Page, E. K. Lenzi, E. K. Lenzi, E. K. Lenzi, E. Lubkin, E. Lubkin, E. M. F. Curado, E. M. F. Curado, E. M. F. Curado, E. Schrödinger, E. Schrödinger, E. Schrödinger, E. Schrödinger, H. A. Mavromatis, H. Araki, J. A. S. Lima, J. S. Dehesa, J. Sanchez-Ruiz, L. Borland, L. C. Malacarne, L. C. Malacarne, M. B. Plenio, M. Buiatti, M. Horodecki, M. Horodecki, M. M. Nieto, M. M. Nieto, P. T. Landsberg, R. S. Mendes, R. S. Mendes, S. Abe, S. Abe, S. K. Foong, S. Lloyd, S. Sen, T. Arimitsu, V. H. Hamity   +59 more
core   +1 more source

PlantLncBoost: key features for plant lncRNA identification and significant improvement in accuracy and generalization

New Phytologist, Volume 247, Issue 3, Page 1538-1549, August 2025.
Summary Long noncoding RNAs (lncRNAs) are critical regulators of numerous biological processes in plants. Nevertheless, their identification is challenging due to the low sequence conservation across various species. Existing computational methods for lncRNA identification often face difficulties in generalizing across diverse plant species ...
Xue‐Chan Tian, Shuai Nie, Douglas Domingues, Alexandre Rossi Paschoal, Li‐Bo Jiang, Jian‐Feng Mao   +5 more
wiley   +1 more source

A Characterization of Entropy in Terms of Information Loss

Entropy, 2011
There are numerous characterizations of Shannon entropy and Tsallis entropy as measures of information obeying certain properties. Using work by Faddeev and Furuichi, we derive a very simple characterization.
Tom Leinster, John C. Baez, Tobias Fritz
doaj   +1 more source

Grey Scale Image Multi-Thresholding Using Moth-Flame Algorithm and Tsallis Entropy [PDF]

, 2021
Seifedine Kadry, V. Rajinikanth
openalex   +1 more source

The robust Orlicz risk with an application to the green photovoltaic power generation

Asian Journal of Control, Volume 27, Issue 4, Page 1655-1667, July 2025.
Abstract We propose a novel recursive utility for controlling stochastic processes under risk and uncertainty. Our formulation uses a robustified Orlicz risk that can evaluate risk and uncertainty simultaneously. We focus on the control problem of a photovoltaic power generation system that supplies excess electricity for the secondary purpose of ...
Hidekazu Yoshioka, Motoh Tsujimura
wiley   +1 more source

Novel Unit Distribution for Enhanced Modeling Capabilities: Healthcare and Geological Applications

Engineering Reports, Volume 7, Issue 7, July 2025.
ABSTRACT In statistical modeling, unit distributions are essential for evaluating proportional or rate‐based data in domains including public health, environmental science, and finance. While there are many different unit distributions, a scalable model is required to capture unique features in various data environments.
Amal S. Hassan, Gaber Sallam Salem Abdalla, Abdoulie Faal, Omar A. Saudi   +3 more
wiley   +1 more source