Posterior consistency and characteristic functional of normalized random measures with independent increments

In this paper, we obtain explicit form of the posterior moments and characteristic functional for normalized random measures with independent increments (NRMIs) in terms of their associated Levy intensities, which is a class of Bayesian nonparametric priors that have been studied widely in the literature. These results are applied to solve the posterior consistency problem, the results of which are illustrated with examples.Comment: Main paper has 10 pages, the proofs are included in the Appendi