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

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

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

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

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

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

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

matrix of a multivariate normal distribution. We say X {\displaystyle \mathbf {X} } follows an inverse Wishart distribution, denoted as X ∼ W − 1 ( Ψ...

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...

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

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...

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

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

approximately normal. The normal-exponential-gamma distribution The normal-inverse Gaussian distribution The Pearson Type IV distribution (see Pearson...

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

percent-point function, inverse cumulative distribution function (after the cumulative distribution function or c.d.f.) or inverse distribution function. With...

normal distribution, multivariate Gaussian distribution, or joint normal distribution is a generalization of the one-dimensional (univariate) normal distribution...

{\displaystyle \Gamma (\alpha +p)/\Gamma (\alpha )} . Z = Y − 1 {\displaystyle Z=Y^{-1}} is sampled from an inverse Gamma distribution with parameter β...

Binomial distribution Compound Poisson distribution Conway–Maxwell–Poisson distribution Erlang distribution Exponential distribution Gamma distribution Hermite...

{\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...

including the half-normal distribution, truncated normal distribution, gamma distribution, and square root of the gamma distribution, all of which are...

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

variance parameter of a normal distribution. The same prior in alternative parametrization is given by the inverse-gamma distribution. The probability density...

exponential distribution as one of its members, but also includes many other distributions, like the normal, binomial, gamma, and Poisson distributions. The...

matrix; conjugate to the inverse of the covariance matrix of a multivariate normal distribution; generalization of the gamma distribution The cache language...

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...

probability distributions include the purely continuous normal, gamma and inverse Gaussian distributions, the purely discrete scaled Poisson distribution, and...

Bayesian statistics, the Wishart distribution is the conjugate prior of the inverse covariance-matrix of a multivariate-normal random vector. Suppose G is...

generalized normal distribution (GND) or generalized Gaussian distribution (GGD) is either of two families of parametric continuous probability distributions on...