Multivariate Distributions Which Have Beta Conditional Distributions
Ian James · Journal of the American Statistical Association · 1975
Distributions having beta conditional distributions arise in connection with the generation of distributions for random proportions which do not necessarily possess neutrality properties (see [3]). The family of bivariate distributions for which both conditional distributions are beta is evaluated, and some multivariate extensions are briefly discussed. The bivariate Dirichlet distribution is characterized by the assumptions that both conditional distributions and one marginal distribution are beta.