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

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

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

theory and statistics, the generalized chi-squared distribution (or generalized chi-square distribution) is the distribution of a quadratic function of...

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

variables. The generalized logistic distribution The generalized normal distribution The geometric stable distribution The Gumbel distribution The Holtsmark...

standard normal random variables. The chi-squared distribution χ k 2 {\displaystyle \chi _{k}^{2}} is a special case of the gamma distribution and the...

given set of data. Another example is the half-normal distribution. The generalized gamma distribution has two shape parameters, d > 0 {\displaystyle...

elliptical distribution is any member of a broad family of probability distributions that generalize the multivariate normal distribution. Intuitively...

and statistics, the skewed generalized "t" distribution is a family of continuous probability distributions. The distribution was first introduced by Panayiotis...

In probability and statistics, the truncated normal distribution is the probability distribution derived from that of a normally distributed random variable...

be generalized hyperbolic at another point in time. In fact, the generalized Laplace distributions and the normal inverse Gaussian distributions are...

Consequently, the Laplace distribution has fatter tails than the normal distribution. It is a special case of the generalized normal distribution and the hyperbolic...

continuous probability distribution that generalizes the standard normal distribution. Like the latter, it is symmetric around zero and bell-shaped. However...

the half-normal distribution is a special case of the folded normal distribution. Let X {\displaystyle X} follow an ordinary normal distribution, N ( 0...

theory and statistics, the generalized extreme value (GEV) distribution is a family of continuous probability distributions developed within extreme value...

The folded normal distribution is a probability distribution related to the normal distribution. Given a normally distributed random variable X with mean...

In probability theory, the family of complex normal distributions, denoted C N {\displaystyle {\mathcal {CN}}} or N C {\displaystyle {\mathcal {N}}_{\mathcal...

The term generalized logistic distribution is used as the name for several different families of probability distributions. For example, Johnson et al...

use, and includes all distributions encompassed by the alternative definitions, as well as those distributions such as log-normal that possess all their...

probability theory and statistics, the normal-inverse-gamma distribution (or Gaussian-inverse-gamma distribution) is a four-parameter family of multivariate...

In statistics, a generalized linear model (GLM) is a flexible generalization of ordinary linear regression. The GLM generalizes linear regression by allowing...

the ratio Z = X/Y is a ratio distribution. An example is the Cauchy distribution (also called the normal ratio distribution), which comes about as the ratio...

statistics, the generalized inverse Gaussian distribution (GIG) is a three-parameter family of continuous probability distributions with probability...

the generalized beta distribution is a continuous probability distribution with four shape parameters, including more than thirty named distributions as...

"Tables of Quantiles of the Distribution of the Empirical Chiral Index in the Case of the Uniform Law and in the Case of the Normal Law". arXiv:2005.09960...

including the half-normal distribution, truncated normal distribution, gamma distribution, and square root of the gamma distribution, all of which are...

The normal-inverse Gaussian distribution (NIG, also known as the normal-Wald distribution) is a continuous probability distribution that is defined as...

similar in shape to the log-normal distribution but has heavier tails. Unlike the log-normal, its cumulative distribution function can be written in closed...

the normal distribution in shape but has heavier tails (higher kurtosis). The logistic distribution is a special case of the Tukey lambda distribution. The...