The q-Gaussian is a probability distribution arising from the maximization of the Tsallis entropy under appropriate constraints. It is one example of a...

Gaussian q-distribution is a family of probability distributions that includes, as limiting cases, the uniform distribution and the normal (Gaussian)...

theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable...

statistics, the multivariate normal distribution, multivariate Gaussian distribution, or joint normal distribution is a generalization of the one-dimensional...

q-Gaussian processes are deformations of the usual Gaussian distribution. There are several different versions of this; here we treat a multivariate deformation...

the chi-squared distribution) q-analog distributions: Gaussian q-distribution (to be distinguished from the q-Gaussian distribution), a family of probability...

subgaussian distribution are dominated by (i.e. decay at least as fast as) the tails of a Gaussian. This property gives subgaussian distributions their name...

In mathematics, a Gaussian function, often simply referred to as a Gaussian, is a function of the base form f ( x ) = exp ⁡ ( − x 2 ) {\displaystyle f(x)=\exp(-x^{2})}...

normal distribution (GND) or generalized Gaussian distribution (GGD) is either of two families of parametric continuous probability distributions on the...

normal (Gaussian) random variable will obtain a value larger than x {\displaystyle x} standard deviations. Equivalently, Q ( x ) {\displaystyle Q(x)} is...

variable Q = Z 2 {\displaystyle Q=Z^{2}} . The distribution of the random variable Q {\displaystyle Q} is an example of a chi-squared distribution:   Q   ∼...

the log-gamma distribution; the Fréchet distribution; the q-Gaussian distribution; the log-Cauchy distribution, sometimes described as having a "super-heavy...

statistics, the skew normal distribution is a continuous probability distribution that generalises the normal distribution to allow for non-zero skewness...

is a complex normal random vector or a complex Gaussian random vector. The complex Gaussian distribution can be described with 3 parameters: μ = E ⁡ [...

and the generalized inverse Gaussian distribution. Among the discrete distributions, the negative binomial distribution is sometimes considered the discrete...

distribution is invariant under unitary conjugation. The Gaussian unitary ensemble models Hamiltonians lacking time-reversal symmetry. The Gaussian orthogonal...

probability q = 1 − p. The Rademacher distribution, which takes value 1 with probability 1/2 and value −1 with probability 1/2. The binomial distribution, which...

Gaussians". The product is one type of algebra for random variables: Related to the product distribution are the ratio distribution, sum distribution...

optics, a Gaussian beam is an idealized beam of electromagnetic radiation whose amplitude envelope in the transverse plane is given by a Gaussian function;...

and statistics, the Poisson distribution (/ˈpwɑːsɒn/; French pronunciation: [pwasɔ̃]) is a discrete probability distribution that expresses the probability...

constructed from the Gaussian distributions. For a Gaussian process, all sets of values have a multidimensional Gaussian distribution. Analogously, X ( t...

normal-gamma distribution (or Gaussian-gamma distribution) is a bivariate four-parameter family of continuous probability distributions. It is the conjugate...

charge enclosed in the cylinder is q = λ h , {\displaystyle q=\lambda h,} where q is the charge enclosed in the Gaussian surface. There are three surfaces...

Hypoexponential distribution – the distribution of a general sum of exponential random variables. exGaussian distribution – the sum of an exponential distribution and...

Psychometrics Pythagorean expectation Q test Q-exponential distribution Q-function Q-Gaussian distribution Q–Q plot Q-statistic (disambiguation) Quadrat...

extreme risk than Gaussian Distribution. Lévy flight and Lévy process Laplace distribution, the Fourier transform of the Cauchy distribution Cauchy process...

function: For α = 2 {\displaystyle \alpha =2} the distribution reduces to a Gaussian distribution with variance σ2 = 2c2 and mean μ; the skewness parameter...

_{i=1}^{k}{\frac {(x_{i}-np_{i})^{2}}{np_{i}}}} This resembles the gaussian distribution, which suggests the following theorem: Theorem. At the n → ∞ {\displaystyle...

distribution of the modulus of Gabor wavelet coefficients and the upper bound of the dimensionless smoothness index in the case of additive Gaussian noises:...

probability distribution: Pr ( D = d ) = q 100 d 1 + q 100 + q 200 + ⋯ + q 900 , {\displaystyle \Pr(D=d)={q^{100d} \over 1+q^{100}+q^{200}+\cdots +q^{900}}...