On some Bayesian nonparametric estimators for species richness under two-parameter Poisson-Dirichlet priors

Details On some Bayesian nonparametric estimators for species richness under two-parameter Poisson-Dirichlet priors On some Bayesian nonparametric estimators for species richness under two-parameter Poisson-Dirichlet priors

2010-02-02

arxiv.org/abs/1002.0535v1

Mathematics

Probability

11 pages

Scientific paper

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.

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