Species sampling models: consistency for the number of species

P. G. Bissiri, A. Ongaro and S. G. Walker

Biometrika, 2013, vol. 100, issue 3, 771-777

Abstract: This paper considers species sampling models using constructions that arise from Bayesian nonparametric prior distributions. A discrete random measure, used to generate a species sampling model, can have either a countable infinite number of atoms, which has been the emphasis in the recent literature, or a finite number of atoms K, while allowing K to be assigned a prior probability distribution on the positive integers. It is the latter class of model we consider here, due to the interpretation of K as the number of species. We demonstrate the consistency of the posterior distribution of K as the sample size increases. Copyright 2013, Oxford University Press.

Date: 2013
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