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Universality of kappa distributions

open access: yesEurophysics Letters
This paper reveals the universality of the particle energy distribution function, despite the arbitrariness that characterizes the generalized thermodynamic entropic function.
George Livadiotis, David J. McComas
core   +2 more sources

Penalized likelihood approach for the four-parameter kappa distribution. [PDF]

open access: yesJ Appl Stat, 2022
The four-parameter kappa distribution (K4D) is a generalized form of some commonly used distributions such as generalized logistic, generalized Pareto, generalized Gumbel, and generalized extreme value (GEV) distributions. Owing to its flexibility, the K4D is widely applied in modeling in several fields such as hydrology and climatic change.
Papukdee N, Park JS, Busababodhin P.
europepmc   +4 more sources

The disagreeable behaviour of the kappa statistic

open access: yesPharmaceutical Statistics, 2015
It is often of interest to measure the agreement between a number of raters when an outcome is nominal or ordinal. The kappa statistic is used as a measure of agreement. The statistic is highly sensitive to the distribution of the marginal totals and can
Laura Flight, Steven A Julious
exaly   +2 more sources

Correlations and Kappa Distributions: Numerical Experiment and Physical Understanding

open access: yesEntropy
Kappa distributions, their statistical framework, and their thermodynamic origin describe systems with correlations among their particle energies, residing in stationary states out of classical thermal equilibrium/space plasmas, from solar wind to the ...
David J. McComas   +2 more
doaj   +2 more sources

Exploring Numerical Correlations: Models and Thermodynamic Kappa

open access: yesEntropy
McComas et al. (2025) introduced a numerical experiment, where ordinary uncorrelated collisions between collision pairs are followed by other, controlled (correlated) collisions, shedding light on the emergence of kappa distributions through particle ...
Nicholas V. Sarlis   +2 more
doaj   +2 more sources

Scalings for the Alfvén-cyclotron instability in a bi-kappa plasma

open access: yesEarth and Planetary Physics, 2023
The particle velocity distribution in space plasma usually exhibits a non-Maxwellian high-energy tail that can be well modeled by kappa distributions.
YueQun Lou   +4 more
doaj   +1 more source

Dissipative Ion-Acoustic Solitary Waves in Magnetized κ-Distributed Non-Maxwellian Plasmas

open access: yesPhysics, 2022
The propagation of dissipative electrostatic (ion-acoustic) solitary waves in a magnetized plasma with trapped electrons is considered via the Schamel formalism.
Sharmin Sultana, Ioannis Kourakis
doaj   +1 more source

Effects of Nonextensive Electrons on Dust–Ion Acoustic Waves in a Collisional Dusty Plasma with Negative Ions

open access: yesEntropy, 2023
The effects of nonextensive electrons on nonlinear ion acoustic waves in dusty negative ion plasmas with ion–dust collisions are investigated. Analytical results show that both solitary and shock waves are supported in this system.
Zhipeng Liu
doaj   +1 more source

The $\kappa$-generalised Distribution for Stock Returns

open access: yes
Empirical evidence shows stock returns are often heavy-tailed rather than normally distributed. The $\kappa$-generalised distribution, originated in the context of statistical physics by Kaniadakis, is characterised by the $\kappa$-exponential function ...
Forbes, Samuel
core   +1 more source

Relativistic regularized kappa distributions [PDF]

open access: yesPhysics of Plasmas, 2022
The special relativistic generalization of isotropic regularized kappa distributions is derived and compared to that of the original Olbertian (or standard) kappa distributions. It is demonstrated that for the latter, the kappa parameter is even more strongly limited than in the non-relativistic case, while for the former, all positive kappa values ...
Linh Han Thanh   +2 more
openaire   +2 more sources

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