Polya tree priors and their estimation with multi-group data (Q2423194)

The tail-free and Polya tree priors are important priors for Bayesian nonparametrics. The authors present new and weaker conditions under which a tail-free random distribution supports the collection of all absolutely continuous distributions with respect to a \(\sigma\)-additive measure. They investigate the empirical Bayes estimation of the parameters of Polya tree prior with multi-group data.