Lijoi, A. and Prunster, I. and Walker, S.G. (2008) Posterior analysis for some classes of nonparametric models. Journal of Nonparametric Statistics, 20 (5). pp. 447-457. ISSN 1048-5252.
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| Official URL http://dx.doi.org/10.1080/10485250802196364 |
Abstract
Recently, James [L.F. James, Bayesian Poisson process partition calculus with an application to Bayesian Levy moving averages, Ann. Statist. 33 (2005), pp. 1771-1799.] and [L.F. James, Poisson calculus for spatial neutral to the right processes, Ann. Statist. 34 (2006), pp. 416-440.] has derived important results for various models in Bayesian nonparametric inference. In particular, in ref. [L.F. James, Poisson calculus for spatial neutral to the right processes, Ann. Statist. 34 (2006), pp. 416-440.] a spatial version of neutral to the right processes is defined and their posterior distribution derived. Moreover, in ref. [L.F. James, Bayesian Poisson process partition calculus with an application to Bayesian Levy moving averages, Ann. Statist. 33 (2005), pp. 1771-1799.] the posterior distribution for an intensity or hazard rate modelled as a mixture under a general multiplicative intensity model is obtained. His proofs rely on the so-called Bayesian Poisson partition calculus. Here we provide alternative proofs based on a different technique.
| Item Type: | Article |
|---|---|
| Uncontrolled keywords: | Bayesian nonparametrics; completely random measure; hazard rate; multiplicative intensity model; neutral to the right prior |
| 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: | 27 Feb 2009 15:57 |
| Last Modified: | 27 Feb 2009 15:57 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/12678 (The current URI for this page, for reference purposes) |
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