It is the conjugate prior of the multinomial distribution, and the (*) beta distribution is itself a special case  of this distribution for two dimensions.
A process named after this distribution takes a base distribution and a positive scaling parameter and yields another  distribution of this type, and is typically used in Bayesian non-parametric models because of the large support of  distributions. That process is modeled using the stick-breaking scheme or the Chinese restaurant process. This  distribution, for k components with parameters alpha, is a probability distribution over a k-minus-1 dimensional simplex  with the density equal to the inverse of the beta function times the iterated product of the i-th component raised to the  alpha minus one. It is the conjugate prior of the multinomial distribution, and the (*) beta distribution is itself a special case  of this distribution for two dimensions. For 10 points, identify this distribution named for a German mathematician who  formalized the idea that, if there are n pigeons and n minus 1holes, one hole will have two pigeons.
A process named after this distribution takes a base distribution and a positive scaling parameter and yields another  distribution of this type, and is typically used in Bayesian non-parametric models because of the large support of  distributions.
Dirichlet distribution [accept Dirichlet process]