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...

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...

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

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

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

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...

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...

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

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

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

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, the matrix variate beta distribution is a generalization of the beta distribution. It is also called the MANOVA ensemble and the Jacobi...

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

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

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

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

Distributions, also known as Schwartz distributions are a kind of generalized function in mathematical analysis. Distributions make it possible to differentiate...

{\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...

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...

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