Some properties of the dirichlet-multinomial distribution and its use in prior elicitation
Kathryn M. Chaloner, George T. Duncan · Communication in Statistics- Theory and Methods · 1987
Two results on the unimodality of the Dirichlet-multinomial distribution are proved, and a further result is alos proved on the identifiability of mixtures of multinomial distributions. These properties are used in developing a method for eliciting a Dirchlet prior distribution. The elicitation method is based on the mode, and region around the mode, of the Dirichlet-multinomial predictive distribution.