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...

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

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

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

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...

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

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

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

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

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

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

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

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

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...

the projected normal distribution (also known as offset normal distribution, angular normal distribution or angular Gaussian distribution) is a probability...

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

If instead one normalizes generalized gamma variates, one obtains variates from the simplicial generalized beta distribution (SGB). On the other hand,...

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

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

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

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 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...

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

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

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

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