Posterior analysis for some classes of nonparametric models

Lijoi, Antonio and Prunster, Igor and Walker, Stephen G. (2008) Posterior analysis for some classes of nonparametric models. Journal of Nonparametric Statistics, 20 (5). pp. 447-457. ISSN 1048-5252. (The full text of this publication is not available from this repository)

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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: 25 Jun 2014 10:42
Resource URI: http://kar.kent.ac.uk/id/eprint/12678 (The current URI for this page, for reference purposes)
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