Results 101 to 110 of about 11,294 (222)

Diffusive Equilibrium: Modeling Anisotropic Maxwellian and Kappa Field Line Distributions in Io's Plasma Torus Using Multi‐Fluid and Kinetic Approaches

Journal of Geophysical Research: Space Physics, Volume 130, Issue 7, July 2025.
Abstract Modeling density distributions along Jupiter's magnetic field lines is essential for understanding the Io plasma torus, moon plasma interactions, and plasma throughout the magnetosphere. This study compares multi‐fluid and kinetic approaches to diffusive equilibrium and the effects of different plasma distribution functions and anisotropy.
Edward G. Nerney
wiley   +1 more source

Estimating Entropy of Data Streams Using Compressed Counting [PDF]

, 2009
The Shannon entropy is a widely used summary statistic, for example, network traffic measurement, anomaly detection, neural computations, spike trains, etc. This study focuses on estimating Shannon entropy of data streams.
Li, Ping
core  

Generalized statistics: yet another generalization

, 2003
We provide a unifying axiomatics for Renyi's entropy and non-extensive entropy of Tsallis. It is shown that the resulting entropy coincides with Csiszar's measure of directed divergence known from communication theory.Comment: Presented at Next2003, uses
Abe, Aczél, Csiszár, Csiszár, Daróczy, Guias, Hardy, Havrda, Jaynes, Jaynes, Kaniadakis, Khinchin, Naudts, Petr Jizba, Rényi, Shannon, Toshihico Arimitsu, Tsallis, Tsallis   +18 more
core   +1 more source

A step beyond Tsallis and Rényi entropies [PDF]

Physics Letters A, 2005
Tsallis and Rényi entropy measures are two possible different generalizations of the Boltzmann-Gibbs entropy (or Shannon's information) but are not generalizations of each others. It is however the Sharma-Mittal measure, which was already defined in 1975 (B.D. Sharma, D.P.
openaire   +3 more sources

Sine Power Unit Inverse Lindley Model: Bayesian Analysis and Practical Application

Engineering Reports, Volume 7, Issue 6, June 2025.
ABSTRACT Techniques for trigonometric transformation have become an effective way to modify statistical distributions. These methods provide more flexibility in modeling various real‐world phenomena by precisely adjusting skewness without adding complexity to the model.
Amal S. Hassan, Diaa S. Metwally, Mohammed Elgarhy, H. E. Semary, Abdoulie Faal, Rokaya Elmorsy Mohamed   +5 more
wiley   +1 more source

Nonextensive Thermostatistics and the H-Theorem

, 2001
The kinetic foundations of Tsallis' nonextensive thermostatistics are investigated through Boltzmann's transport equation approach. Our analysis follows from a nonextensive generalization of the ``molecular chaos hypothesis". For $q>0$, the $q$-transport
A. K. Rajagopal, A. K. Rajagopal, A. Lavagno, A. M. Mariz, A. R. Plastino, A. Sommerfeld, B. M. Boghosian, B. M. Boghosian, C. Beck, C. Beck, C. J. Thompson, C. Tsallis, C. Tsallis, C. Tsallis, C. Tsallis, D. F. Torres, E. M. F. Curado, E. P. Borges, E. T. Jaynes, E. T. Jaynes, H. D. Zeh, J. A. S. Lima, J. A. S. Lima, Ludwig Boltzmann, M. Buiatti, R. Salazar, R. Silva, R. Silva, Jr., S. Abe, S. G. Brush, S. H. Burbury, S. R. de Groot, V. H. Hamity   +32 more
core   +1 more source

Relative entropy and Tsallis entropy of two accretive operators

Comptes Rendus. Mathématique, 2017
Let A and B be two accretive operators. We first introduce the weighted geometric mean of A and B together with some related properties.
Raïssouli, Mustapha, Moslehian, Mohammad Sal, Furuichi, Shigeru   +2 more
openaire   +3 more sources

Quantitative Analyses and Development of a q-Incrementation Algorithm for FCM with Tsallis Entropy Maximization

Advances in Fuzzy Systems, 2015
Tsallis entropy is a q-parameter extension of Shannon entropy. By extremizing the Tsallis entropy within the framework of fuzzy c-means clustering (FCM), a membership function similar to the statistical mechanical distribution function is obtained.
Makoto Yasuda
doaj   +1 more source

A Simple Model for the Entropy of a System With Interacting Particles

IEEE Access, 2019
We present a simple model to calculate the system entropy of interacting particles where the interaction is modeled by unusual collisions concerning initial and final states.
Benjamin Lopez-Carrera, Cornelio Yanez-Marquez   +1 more
doaj   +1 more source

Order Properties Concerning Tsallis Residual Entropy

Mathematics
With the help of Tsallis residual entropy, we introduce Tsallis quantile entropy order between two random variables. We give necessary and sufficient conditions, study closure and reversed closure properties under parallel and series operations and show ...
Răzvan-Cornel Sfetcu, Vasile Preda
doaj   +1 more source