Recently the study of priors obtained as laws of suitably normalized random measures has gained some interest. As for all nonparametric priors the crucial point is the determination of the posterior distribution. In this paper a new and simple proof of the posterior characterization of a normalized random measure with independent increments is provided and an exact expression for the posterior distribution of their means is obtained. Finally an interesting particular case is treated in some detail.

Some issues in Bayesian Nonparamterics

PRUENSTER, Igor
2005-01-01

Abstract

Recently the study of priors obtained as laws of suitably normalized random measures has gained some interest. As for all nonparametric priors the crucial point is the determination of the posterior distribution. In this paper a new and simple proof of the posterior characterization of a normalized random measure with independent increments is provided and an exact expression for the posterior distribution of their means is obtained. Finally an interesting particular case is treated in some detail.
2005
Joint Statistical Meetings 2004
Toronto
8-12 August 2004
ASA Proceedings of the Joint Statistical Meetings 2004
American Statistical Association
196
203
http://www.amstat.org/
Bayesian nonparametrics; Dirichlet process; distribution of means of random probability measures; normalized random measures; posterior distribution.
I. PRUENSTER
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/19269
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