The generalized normal distribution 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...

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...

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

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...

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

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

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...

In probability theory, a log-normal (or lognormal) distribution is a continuous probability distribution of a random variable whose logarithm is normally...

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

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

location-scale t distribution l s t ( μ , τ 2 , ν ) {\displaystyle lst(\mu ,\tau ^{2},\nu )} it generalizes the normal distribution and also arises in...

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

The exponential generalized beta (EGB) distribution follows directly from the GB and generalizes other common distributions. A generalized beta random variable...

logistic distribution Generalized method of moments Generalized multidimensional scaling Generalized multivariate log-gamma distribution Generalized normal distribution...

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

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

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

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...

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

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

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

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

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

and follow a multivariate normal distribution. If the errors do not follow a multivariate normal distribution, generalized linear models may be used to...

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

the distribution of the underlying sample data is of the normal or exponential type. The Gumbel distribution is a particular case of the generalized extreme...

The gamma distribution is a special case of the generalized gamma distribution, the generalized integer gamma distribution, and the generalized inverse...