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Rodríguez A, Quintana FA. On species sampling sequences induced by residual allocation models. J Stat Plan Inference. 2015;157:108-120doi: 10.1016/j.jspi.2014.08.008.
Rodríguez, A., & Quintana, F. A. (2015). On species sampling sequences induced by residual allocation models. Journal of statistical planning and inference, 157108-120. https://doi.org/10.1016/j.jspi.2014.08.008
Rodríguez, Abel, and Quintana, Fernando A. "On species sampling sequences induced by residual allocation models." Journal of statistical planning and inference vol. 157 (2015): 108-120. doi: https://doi.org/10.1016/j.jspi.2014.08.008
Rodríguez A, Quintana FA. On species sampling sequences induced by residual allocation models. J Stat Plan Inference. 2015 Feb;157:108-120. doi: 10.1016/j.jspi.2014.08.008. PMID: 25477705; PMCID: PMC4247178.
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J Stat Plan Inference. 2015 Feb;157:108-120. doi: 10.1016/j.jspi.2014.08.008.

On species sampling sequences induced by residual allocation models.

Journal of statistical planning and inference

Abel Rodríguez, Fernando A Quintana

Affiliations

  1. Department of Applied Mathematics and Statistics, University of California, Santa Cruz, USA.
  2. Departamento de Estadística, Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Santiago, Chile.

PMID: 25477705 PMCID: PMC4247178 DOI: 10.1016/j.jspi.2014.08.008

Abstract

We discuss fully Bayesian inference in a class of species sampling models that are induced by residual allocation (sometimes called stick-breaking) priors on almost surely discrete random measures. This class provides a generalization of the well-known Ewens sampling formula that allows for additional flexibility while retaining computational tractability. In particular, the procedure is used to derive the exchangeable predictive probability functions associated with the generalized Dirichlet process of Hjort (2000) and the probit stick-breaking prior of Chung and Dunson (2009) and Rodriguez and Dunson (2011). The procedure is illustrated with applications to genetics and nonparametric mixture modeling.

Keywords: Exchangeable partition probability function; Generalized Dirichlet process; Probit-stick breaking process; Size-biased permutation

References

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