Editing Beta distribution (section)

===Generalisations===
* The generalization to multiple variables, i.e. a [[Dirichlet distribution|multivariate Beta distribution]], is called a [[Dirichlet distribution]]. Univariate marginals of the Dirichlet distribution have a beta distribution.  The beta distribution is [[Conjugate prior|conjugate]] to the binomial and Bernoulli distributions in exactly the same way as the [[Dirichlet distribution]] is conjugate to the [[multinomial distribution]] and [[categorical distribution]].
* The [[Pearson distribution#The Pearson type I distribution|Pearson type I distribution]] is identical to the beta distribution (except for arbitrary shifting and re-scaling that can also be accomplished with the four parameter parametrization of the beta distribution).
* The beta distribution is the special case of the [[noncentral beta distribution]] where <math>\lambda = 0</math>: <math>\operatorname{Beta}(\alpha, \beta) = \operatorname{NonCentralBeta}(\alpha,\beta,0)</math>.
* The [[generalized beta distribution]] is a five-parameter distribution family which has the beta distribution as a special case.
* The [[matrix variate beta distribution]] is a distribution for [[positive-definite matrices]].