Bayesian nonparametric inference of stochastically ordered distributions, with Polya trees and Bernstein polynomials

We introduce approaches to performing Bayesian nonparametric statistical inference for distribution functions exhibiting a stochastic ordering. We consider Polya tree prior distributions, and Bernstein polynomial prior distributions, and each prior provides an appealing and simple way of introducing the stochastic order. (C) 2007 Elsevier B.V. All rights reserved