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

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

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)...

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

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

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

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

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

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

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

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

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

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

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

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

e − ( β x ) k {\displaystyle f(x;k,\beta )=\beta k({\beta x})^{k-1}e^{-(\beta x)^{k}}} the cumulative distribution function is F ( x ; k , β ) = 1 − e...

{\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...

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

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

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

{\sqrt {x(1-x)}}}}} on (0, 1). The standard arcsine distribution is a special case of the beta distribution with α = β = 1/2. That is, if X {\displaystyle...

β , {\displaystyle \beta ,} the reciprocal of the rate, is sometimes used instead. The Erlang distribution is the distribution of a sum of k {\displaystyle...

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

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

Student's t distribution (or simply the t distribution) t ν {\displaystyle t_{\nu }} is a continuous probability distribution that generalizes the standard...

{\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...