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)...

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

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...

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

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

range distribution, the distribution followed by the q-statistic q-analog distributions: Gaussian q-distribution, a family of probability distributions that...

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})}...

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...

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

Kaniadakis Gaussian distribution (also known as κ-Gaussian distribution) is a probability distribution which arises as a generalization of the Gaussian distribution...

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

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

Gaussian variables which do not have mean zero yields a generalization of the chi-squared distribution called the noncentral chi-squared distribution...

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

q-Laguerre polynomials q-Meixner polynomials q-Meixner–Pollaczek polynomials q-Racah polynomials Gaussian q-distribution q-exponential distribution q-Weibull...

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...

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

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

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

probability theory and statistics, the Poisson distribution (/ˈpwɑːsɒn/) is a discrete probability distribution that expresses the probability of a given number...

v_{t}(x\vert z)} on some conditional distribution q ( z ) {\displaystyle q(z)} . A natural choice is the Gaussian conditional probability path: p t ( x...

families of Tsallis distributions, yet different sources may reference an individual family as "the Tsallis distribution". The q-Gaussian is a generalization...

Since the error function and the Gaussian Q-function are closely related through the identity erfc ⁡ ( x ) = 2 Q ( 2 x ) {\displaystyle \operatorname...

in logarithmic values, such as dB or neper, has a normal (i.e., Gaussian) distribution." Also, the random obstruction of radio signals due to large buildings...

non-negative.) Smoothing the Wigner distribution through a filter of size larger than ħ (e.g., convolving with a phase-space Gaussian, a Weierstrass transform,...

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}}...

29–36. Sagias, N.C.; Karagiannidis, G.K. (2005). "Gaussian Class Multivariate Weibull Distributions: Theory and Applications in Fading Channels". IEEE...

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

multivariate Gaussian with additional conditional independence properties) with probability density π ( x | θ ) ∝ | Q θ | 1 / 2 exp ⁡ ( − 1 2 x T Q θ x ) ,...