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Species sampling models: consistency for the number of species

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  • P. G. Bissiri
  • A. Ongaro
  • S. G. Walker

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.

Suggested Citation

  • P. G. Bissiri & A. Ongaro & S. G. Walker, 2013. "Species sampling models: consistency for the number of species," Biometrika, Biometrika Trust, vol. 100(3), pages 771-777.
    • Handle: RePEc:oup:biomet:v:100:y:2013:i:3:p:771-777
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    File URL: http://hdl.handle.net/10.1093/biomet/ast006
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