Lijoi, Antonio, Prunster, Igor, Walker, Stephen G. (2008) Bayesian nonparametric estimators derived from conditional Gibbs structures. Annals of Applied Probability, 18 (4). pp. 1519-1547. ISSN 1050-5164. (doi:10.1214/07-AAP495) (KAR id:12673)
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| Official URL: http://dx.doi.org/10.1214/07-AAP495 |
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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 |
|---|---|
| DOI/Identification number: | 10.1214/07-AAP495 |
| 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: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | Judith Broom |
| Date Deposited: | 12 Mar 2009 16:37 UTC |
| Last Modified: | 05 Nov 2024 09:46 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/12673 (The current URI for this page, for reference purposes) |
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