Title
On a class of σ-stable Poisson---Kingman models and an effective marginalized sampler
Abstract
We investigate the use of a large class of discrete random probability measures, which is referred to as the class $$\mathcal {Q}$$Q, in the context of Bayesian nonparametric mixture modeling. The class $$\mathcal {Q}$$Q encompasses both the the two-parameter Poisson---Dirichlet process and the normalized generalized Gamma process, thus allowing us to comparatively study the inferential advantages of these two well-known nonparametric priors. Apart from a highly flexible parameterization, the distinguishing feature of the class $$\mathcal {Q}$$Q is the availability of a tractable posterior distribution. This feature, in turn, leads to derive an efficient marginal MCMC algorithm for posterior sampling within the framework of mixture models. We demonstrate the efficacy of our modeling framework on both one-dimensional and multi-dimensional datasets.
Year
DOI
Venue
2015
10.1007/s11222-014-9499-4
Statistics and Computing
Keywords
DocType
Volume
Bayesian nonparametrics,Normalized generalized Gamma process,Marginalized MCMC sampler,Mixture model,sigma-Stable Poisson-Kingman model,Two parameter Poisson-Dirichlet process
Journal
25
Issue
ISSN
Citations 
1
0960-3174
0
PageRank 
References 
Authors
0.34
3
3
Name
Order
Citations
PageRank
S. Favaro100.34
M. Lomeli200.34
Yee Whye Teh36253539.26