Secondly, we compute the expression of the q-Laplace transform of the q-Gaussian distribution. Finally, we study the distribution of sum of q-independent Gaussian distributions. Afterwards the confidence interval of the mean parameter is estimated on the basis of the q-central limit theorem....
The q-Gaussian distributions introduced by Tsallis are discussed from the point of view of variance mixtures of normals and exchangeability. For each , there is a q-Gaussian distribution that maximizes the Tsallis entropy under suitable constraints. This paper shows that q-Gaussian random variables ...
This paper is the first in a series, where we aim to model the injection of comets from the Oort Cloud so well that the shape of the energy distribution of... M. Fouchard a,H. Rickman b c,Ch. Froeschlé d,... - 《Icarus》 被引量: 30发表: 2013年 Orbit and dynamic origin of ...
The q-Gaussian distribution is known to be an attractor of certain correlated systems, and is the distribution which, under appropriate constraints, maximizes the entropy S q , the basis of nonextensive statistical mechanics. This theory is postulated as a natural ...
Extremization of the Boltzmann-Gibbs (BG) entropy $S_{BG}=-k\\int dx\\,p(x) \\ln p(x)$ under appropriate norm and width constraints yields the Gaussian distribution pG(x) e-x. Also, the basic solutions of the standard Fokker-Planck (FP) equation (related to the Langevin equation ...
In preliminary theoretical investigations, it has been observed that q q mathContainer Loading Mathjax -Gaussian intensity distribution function plays vital role in the dynamics of laser beam propagating in relativistic plasma. In present theoretical investigation, the usual parabolic equation approach ...
The q-Gaussians are discussed from the point of view of variance mixtures of normals and exchangeability. For each q< 3, there is a q-Gaussian distribution that maximizes the Tsallis entropy under suitable constraints. This paper shows that q-Gaussian random variables can be represented as vari...
In this paper we show q-Gaussian distribution can be used to represent non Lorentzian Mssbauer line shapes where q is non-extensivity index.关键词: q-Gaussian representation Non-Lorentzian Mössbauer lineshapes Anomalous behaviour DOI: 10.1007/s10751-008-9900-9 ...
distribution. Also we believe that due to the nature of the term x α e − N 2 x 2 and the availability of a vast number of integration tables [9], E[Q N (x)] can be evaluated for a wide range of other distributions as well. Note that with the help of ...
q-Gaussian distributiont-SNEUMAP Hiroshima UniversityIn recent years, the dimensionality reduction has become more important as the number of dimensions of data used in various tasks such as regression and classification has increased. As popular nonlinear dimensionality reduction methods, t-distributed ...