On some Bayesian nonparametric estimators for species richness under two-parameter Poisson-Dirichlet priors
Probability
2010-02-03 v1 Statistics Theory
Statistics Theory
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.
Cite
@article{arxiv.1002.0535,
title = {On some Bayesian nonparametric estimators for species richness under two-parameter Poisson-Dirichlet priors},
author = {Annalisa Cerquetti},
journal= {arXiv preprint arXiv:1002.0535},
year = {2010}
}
Comments
11 pages