On some Bayesian nonparametric estimators for species richness under two-parameter Poisson-Dirichlet priors
arXiv:1002.0535
Abstract
We present an alternative approach to the Bayesian nonparametric analysis of conditional species richness under two-parameter Poisson Dirichlet priors. We rely on a known characterization by deletion of classes property and on results for Beta-Binomial distributions. Besides leading to simplified and much more direct proofs, our proposal provides a new scale mixture representation of the conditional asymptotic law.
11 pages