Bayesian nonparametric estimators derived from conditional Gibbs structures

Lijoi, Antonio and Prunster, Igor and Walker, Stephen G. (2008) Bayesian nonparametric estimators derived from conditional Gibbs structures. Annals of Applied Probability, 18 (4). pp. 1519-1547. ISSN 1050-5164 . (Full text available)

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http://dx.doi.org/10.1214/07-AAP495

Abstract

We consider discrete nonparametric priors which induce Gibbs-type exchangeable random partitions and investigate their posterior behavior in detail. In particular, we deduce conditi onal distributions and the corresponding Bayesian nonparametric estimators, which can be readily exploited for predicting various features of additional samples. The results provide useful tools for genomic applications where prediction of future outcomes is required

Item Type: Article
Uncontrolled keywords: Bayesian nonparametrics; Dirichlet process; exchangeable random partitions; generalized factorial coefficients; generalized gamma process; population genetics; species sampling models; two parameter Poisson-Dirichlet process
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Statistics
Depositing User: Judith Broom
Date Deposited: 12 Mar 2009 16:37
Last Modified: 25 Jun 2014 10:40
Resource URI: http://kar.kent.ac.uk/id/eprint/12673 (The current URI for this page, for reference purposes)
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