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In mathematics, the multivariate gamma function Γp is a generalization of the gamma function. It is useful in multivariate statistics, appearing in the...

Pseudogamma function Hadamard's gamma function Inverse gamma function Lanczos approximation Multiple gamma function Multivariate gamma function p-adic gamma function...

{\displaystyle \psi _{p}} is the multivariate digamma function (the derivative of the log of the multivariate gamma function). The following variance computation...

terms of its characteristic function. The multivariate stable distribution can also be thought as an extension of the multivariate normal distribution. It...

function, Polygamma function Incomplete beta function Incomplete gamma function K-function Multivariate gamma function: A generalization of the Gamma...

In statistics, the multivariate t-distribution (or multivariate Student distribution) is a multivariate probability distribution. It is a generalization...

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

similarly, e.g. as the conjugate prior of the precision matrix of a multivariate normal distribution and matrix normal distribution. The compound distribution...

In probability theory and statistics, the multivariate normal distribution, multivariate Gaussian distribution, or joint normal distribution is a generalization...

define generating functions in several variables for arrays with several indices. These are called multivariate generating functions or, sometimes, super...

similarly, e.g. as the conjugate prior of the covariance matrix of a multivariate normal distribution or matrix normal distribution. The compound distribution...

distribution functions of the gamma distribution vary based on the chosen parameterization, both offering insights into the behavior of gamma-distributed...

{\mathcal {C}}{\widetilde {\Gamma }}_{p}^{}(n)=\pi ^{p(p-1)/2}\prod _{j=1}^{p}\Gamma (n-j+1)} is the complex multivariate Gamma function. Using the trace rotation...

{p}{2}}}.} Here Γ p {\displaystyle \Gamma _{p}} is the multivariate gamma function. The characteristic function and various other properties can be derived...

scaled inverse chi-squared distribution. The inverse gamma distribution's probability density function is defined over the support x > 0 {\displaystyle x>0}...

the beta function, also called the Euler integral of the first kind, is a special function that is closely related to the gamma function and to binomial...

theorem Multiplicities of entries in Pascal's triangle Multiset Multivariate gamma function Narayana numbers Negative binomial distribution Nörlund–Rice...

distribution, Lorentz(ian) function, or Breit–Wigner distribution. The Cauchy distribution f ( x ; x 0 , γ ) {\displaystyle f(x;x_{0},\gamma )} is the distribution...

variables; the function f is holomorphic in an open subset U of Cn if it is analytic at each point in U. Osgood's lemma shows (using the multivariate Cauchy integral...

characteristic functions generalizes to multivariate random variables and more complicated random elements. The argument of the characteristic function will always...