Results 61 to 70 of about 9,970 (189)

Pathway Model, Superstatistics, Tsallis Statistics, and a Generalized Measure of Entropy

, 2006
The pathway model of Mathai (2005) is shown to be inferable from the maximization of a certain generalized entropy measure. This entropy is a variant of the generalized entropy of order 'alpha', considered in Mathai and Rathie (1975), and it is also ...
A.M. Mathai, Beck, Beck, Coraddu, Ebeling, H.J. Haubold, Haubold, Haubold, Haubold, Honerkamp, Kerridge, Mathai, Mathai, Mathai, Mathai, Mathai, Saxena, Saxena, Tsallis, Tsallis   +19 more
core   +2 more sources

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

Extensive Renyi Statistics from Non-Extensive Entropy

, 2004
We show that starting with either the non-extensive Tsallis entropy in Wang's formalism or the extensive Renyi entropy, it is possible to construct the equilibrium statistical mechanics with non-Gibbs canonical distribution functions.
A.S. Parvan, Abe, Abe, Abe, Abe, Abe, Abramowitz, Balescu, Botet, Gibbs, Gross, Huang, Jaynes, Lavagno, Martínez, Parvan, Prato, Rényi, T.S. Biró, Tsallis, Tsallis, Tsallis, Vives, Wang, Wang, Wang, Wang, Wehrl   +27 more
core   +1 more source

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

Measures of cumulative residual Tsallis entropy for concomitants of generalized order statistics based on the Morgenstern family with application to medical data

Mathematical Biosciences and Engineering
Ever since Tsallis introduced Tsallis entropy theory, it has been applied to a wide variety of topics in physics and chemistry, with new applications being discovered annually.
Ghada Mohammed Mansour, Haroon Mohamed Barakat, Islam Abdullah Husseiny, Magdy Nagy, Ahmed Hamdi Mansi, Metwally Alsayed Alawady   +5 more
doaj   +1 more source

Quantifying Dynamical Complexity of Magnetic Storms and Solar Flares via Nonextensive Tsallis Entropy

Entropy, 2011
Over the last couple of decades nonextensive Tsallis entropy has shown remarkable applicability to describe nonequilibrium physical systems with large variability and multifractal structure.
Konstantinos Eftaxias, Ingmar Sandberg, Constantinos Papadimitriou, Anastasios Anastasiadis, Georgios Balasis, Ioannis A. Daglis   +5 more
doaj   +1 more source

Generalization of the partitioning of shannon diversity. [PDF]

PLoS ONE, 2014
Traditional measures of diversity, namely the number of species as well as Simpson's and Shannon's indices, are particular cases of Tsallis entropy. Entropy decomposition, i.e. decomposing gamma entropy into alpha and beta components, has been previously
Eric Marcon, Ivan Scotti, Bruno Hérault, Vivien Rossi, Gabriel Lang   +4 more
doaj   +1 more source

BIVARIATE DYNAMIC CUMULATIVE RESIDUAL TSALLIS ENTROPY

Journal of applied mathematics & informatics, 2017
Summary: In [``Some characterization results on dynamic cumulative residual Tsallis entropy'', J. Probab. Stat. 2015, 1--8 (2015; \url{doi:10.1155/2015/694203})], \textit{M. M. Sati} and \textit{N. Gupta} proposed two measures of uncertainty based on non-extensive entropy, called the dynamic cumulative residual Tsallis entropy (DCRTE) and the empirical
Sati, Madan Mohan, Singh, Harinder
openaire   +2 more sources

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

Growth of perturbations in Tsallis and Barrow cosmology

European Physical Journal C: Particles and Fields, 2022
We report the effects of entropic corrections to the Friedmann equations on the growth of perturbations in the early stages of the universe. We consider two types of corrections to the area law of entropy, known as Tsallis and Barrow entropy. Using these
Ahmad Sheykhi, Bita Farsi
doaj   +1 more source