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- Q-Gaussian_distribution abstract "The q-Gaussian is a probability distribution arising from the maximization of the Tsallis entropy under appropriate constraints. It is one example of a Tsallis distribution. The q-Gaussian is a generalization of the Gaussian in the same way that Tsallis entropy is a generalization of standard Boltzmann–Gibbs entropy or Shannon entropy. The normal distribution is recovered as .The q-Gaussian has been applied to problems in the fields of statistical mechanics, geology, anatomy, astronomy, economics, finance, and machine learning. The distribution is often favored for its heavy tails in comparison to the Gaussian for . There is generalized q-analog of the classical central limit theorem in which the independence constraint for the i.i.d. variables is relaxed to an extent defined by the q parameter, with independence being recovered as q → 1. In analogy to the classical central limit theorem, an average of such random variables with fixed mean and variance tend towards the q-Gaussian distribution.In the heavy tail regions, the distribution is equivalent to the Student's t-distribution with a direct mapping between q and the degrees of freedom. A practitioner using one of these distributions can therefore parameterize the same distribution in two different ways. The choice of the q-Gaussian form may arise if the system is non-extensive, or if there is lack of a connection to small samples sizes.".
- Q-Gaussian_distribution thumbnail QGaussian2.png?width=300.
- Q-Gaussian_distribution wikiPageExternalLink 07-10.pdf.
- Q-Gaussian_distribution wikiPageExternalLink tsallis.html.
- Q-Gaussian_distribution wikiPageID "32185446".
- Q-Gaussian_distribution wikiPageRevisionID "585385526".
- Q-Gaussian_distribution hasPhotoCollection Q-Gaussian_distribution.
- Q-Gaussian_distribution mean ", otherwise undefined".
- Q-Gaussian_distribution name "q-Gaussian".
- Q-Gaussian_distribution parameters "shape".
- Q-Gaussian_distribution pdfImage "325".
- Q-Gaussian_distribution support "for".
- Q-Gaussian_distribution type "density".
- Q-Gaussian_distribution subject Category:Continuous_distributions.
- Q-Gaussian_distribution subject Category:Probability_distributions.
- Q-Gaussian_distribution subject Category:Probability_distributions_with_non-finite_variance.
- Q-Gaussian_distribution subject Category:Statistical_mechanics.
- Q-Gaussian_distribution type Abstraction100002137.
- Q-Gaussian_distribution type Arrangement105726596.
- Q-Gaussian_distribution type Cognition100023271.
- Q-Gaussian_distribution type ContinuousDistributions.
- Q-Gaussian_distribution type Distribution105729036.
- Q-Gaussian_distribution type ProbabilityDistributionsWithNon-finiteVariance.
- Q-Gaussian_distribution type PsychologicalFeature100023100.
- Q-Gaussian_distribution type Structure105726345.
- Q-Gaussian_distribution comment "The q-Gaussian is a probability distribution arising from the maximization of the Tsallis entropy under appropriate constraints. It is one example of a Tsallis distribution. The q-Gaussian is a generalization of the Gaussian in the same way that Tsallis entropy is a generalization of standard Boltzmann–Gibbs entropy or Shannon entropy.".
- Q-Gaussian_distribution label "Q-Gaussian distribution".
- Q-Gaussian_distribution sameAs m.0gx_02p.
- Q-Gaussian_distribution sameAs Q7265266.
- Q-Gaussian_distribution sameAs Q7265266.
- Q-Gaussian_distribution sameAs Q-Gaussian_distribution.
- Q-Gaussian_distribution wasDerivedFrom Q-Gaussian_distribution?oldid=585385526.
- Q-Gaussian_distribution depiction QGaussian2.png.
- Q-Gaussian_distribution isPrimaryTopicOf Q-Gaussian_distribution.