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

The symmetric generalized normal distribution, also known as the exponential power distribution or the generalized error distribution, is a parametric...

probability theory and statistics, the beta distribution is a family of continuous probability distributions defined on the interval [0, 1] or (0, 1)...

probability theory and statistics, the beta prime distribution (also known as inverted beta distribution or beta distribution of the second kind) is an absolutely...

parameter. Both are in turn special cases of the even more general generalized beta distribution of the second kind. Another more straightforward generalization...

The generalized gamma distribution is a continuous probability distribution with two shape parameters (and a scale parameter). It is a generalization...

bounded distribution is a family of continuous probability distributions defined on the interval (0,1). It is similar to the beta distribution, but much...

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

multinomial distribution, a generalization of the beta negative binomial distribution. The generalized multivariate log-gamma distribution The Marshall–Olkin...

statistics, the Gumbel distribution (also known as the type-I generalized extreme value distribution) is used to model the distribution of the maximum (or...

probability theory and statistics, the beta-binomial distribution is a family of discrete probability distributions on a finite support of non-negative integers...

In probability theory, a beta negative binomial distribution is the probability distribution of a discrete random variable  X {\displaystyle X} equal...

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

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

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

moments of the log-t distribution are infinite or do not exist. The log-t distribution is a special case of the generalized beta distribution of the second kind...

In statistics, the generalized Pareto distribution (GPD) is a family of continuous probability distributions. It is often used to model the tails of another...

{\displaystyle X_{i}} follows the generalized normal distribution (version 1) with parameters μ , α , β {\displaystyle \mu ,\alpha ,\beta } then ∑ i = 1 n 2 | X...

statistics, the beta rectangular distribution is a probability distribution that is a finite mixture distribution of the beta distribution and the continuous...

In statistics, the generalized Dirichlet distribution (GD) is a generalization of the Dirichlet distribution with a more general covariance structure...

{\displaystyle \beta =1} , the distribution is supported on [μ, ∞). The parameter c > 0 is a scale factor which is a measure of the width of the distribution while...

In statistics, hierarchical generalized linear models extend generalized linear models by relaxing the assumption that error components are independent...

In statistics, the matrix variate beta distribution is a generalization of the beta distribution. If U {\displaystyle U} is a p × p {\displaystyle p\times...

distribution and normal distribution. (See the previous section.) The Pareto distribution is a special case of the generalized Pareto distribution, which is a family...

^{-1}+1}}\sim \beta (\beta ,\alpha )} 1 + Y ∼ { β ( β , α ) } − 1 {\displaystyle 1+\mathbf {Y} \sim \{\;\beta (\beta ,\alpha )\;\}^{-1}} , the distribution of the...

^{n}(2^{n}-2)\cdot |B_{n}|.} generalized logistic distribution Tukey lambda distribution log-logistic distribution half-logistic distribution logistic regression...

log-logistic distribution is a probability distribution also known as the generalized log-logistic or the three-parameter log-logistic distribution. It has...

{y} -\mathbf {X} \mathbf {b} } . The generalized least squares method estimates β {\displaystyle {\boldsymbol {\beta }}} by minimizing the squared Mahalanobis...

{\Sigma }}} , also known as the generalized variance. The equation above reduces to that of the univariate normal distribution if Σ {\displaystyle {\boldsymbol...

and statistics, the generalized K-distribution is a three-parameter family of continuous probability distributions. The distribution arises by compounding...