the inverse gamma distribution is a two-parameter family of continuous probability distributions on the positive real line, which is the distribution of...

normal-inverse-gamma distribution (or Gaussian-inverse-gamma distribution) is a four-parameter family of multivariate continuous probability distributions....

the gamma distribution is a versatile two-parameter family of continuous probability distributions. The exponential distribution, Erlang distribution, and...

{\displaystyle \Gamma } is the gamma function. The inverse chi-squared distribution is a special case of the inverse-gamma distribution. with shape parameter...

normal-inverse-gamma distribution, which is the product of the two distributions just defined, with conjugate priors used (an inverse gamma distribution over...

^{2}(\nu )} . This family of scaled inverse chi-squared distributions is a reparametrization of the inverse-gamma distribution. Specifically, if X ∼ ψ inv- χ...

theory and statistics, an inverse distribution is the distribution of the reciprocal of a random variable. Inverse distributions arise in particular in the...

\tau ^{2}~.} The scaled-inverse-chi-squared distribution is exactly the same distribution as the inverse gamma distribution, but with a different parameterization...

In statistics, the inverse Wishart distribution, also called the inverted Wishart distribution, is a probability distribution defined on real-valued positive-definite...

special case of the inverse-gamma distribution. It is a stable distribution. The probability density function of the Lévy distribution over the domain x...

In statistics, the inverse matrix gamma distribution is a generalization of the inverse gamma distribution to positive-definite matrices. It is a more...

has an inverse-gamma distribution with shape and scale parameters n − 1 and nα, respectively. Vilfredo Pareto originally used this distribution to describe...

systems The inverse-gamma distribution The generalized gamma distribution The generalized Pareto distribution The Gamma/Gompertz distribution The Gompertz...

derived from the mean and variance of the inverse-gamma distribution, Inv-Gamma ( n , λ ) {\textstyle {\mbox{Inv-Gamma}}(n,\lambda )} . The Fisher information...

type V distribution (originally just the normal distribution, but now the inverse-gamma distribution) and introduced the type VI distribution. Together...

the normal-gamma distribution (or Gaussian-gamma distribution) is a bivariate four-parameter family of continuous probability distributions. It is the...

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

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

{\displaystyle f(x;x_{0},\gamma )} is the distribution of the x-intercept of a ray issuing from ( x 0 , γ ) {\displaystyle (x_{0},\gamma )} with a uniformly...

gamma–Poisson (mixture) distribution. The negative binomial distribution was originally derived as a limiting case of the gamma-Poisson distribution....

In statistics, the Wishart distribution is a generalization of the gamma distribution to multiple dimensions. It is named in honor of John Wishart, who...

filter Inverse distance weighting Inverse distribution Inverse Gaussian distribution Inverse matrix gamma distribution Inverse Mills ratio Inverse probability...

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

Tweedie distributions are a family of probability distributions which include the purely continuous normal, gamma and inverse Gaussian distributions, the...

the mean, and a vague prior probability (such as an exponential or gamma distribution) over the positive reals for the sample size, if they are independent...

x ) {\textstyle L_{\frac {1}{2}}(x)} is the Lévy distribution which is an inverse gamma distribution. Thus N 1 2 ( ν ; ν 0 , θ ) {\displaystyle {\mathfrak...

{\displaystyle \gamma _{2}={\frac {-6\Gamma _{1}^{4}+12\Gamma _{1}^{2}\Gamma _{2}-3\Gamma _{2}^{2}-4\Gamma _{1}\Gamma _{3}+\Gamma _{4}}{[\Gamma _{2}-\Gamma _{1}^{2}]^{2}}}}...

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

t-distribution, the Laplace distribution, the hyperbolic distribution, the normal-inverse Gaussian distribution and the variance-gamma distribution. G...

cumulative distribution function or c.d.f.) or inverse distribution function. With reference to a continuous and strictly monotonic cumulative distribution function...