Authors
Travis Costa
Northern Arizona University
Abstract
© 2014, © 2014 American Statistical Association.Many popular Bayesian nonparametric priors can be characterized in terms of exchangeable species sampling sequences. However, in some applications, exchangeability may not be appropriate. We introduce a novel and probabilistically coherent family of nonexchangeable species sampling sequences characterized by a tractable predictive probability function with weights driven by a sequence of independent Beta random variables. We compare their theoretical clustering properties with those of the Dirichlet process and the two parameters Poisson–Dirichlet process. The proposed construction provides a complete characterization of the joint process, differently from existing work. We then propose the use of such process as prior distribution in a hierarchical Bayes’ modeling framework, and we describe a Markov chain Monte Carlo sampler for posterior inference. We evaluate the performance of the prior and the robustness of the resulting inference in a simulation study, providing a comparison with popular Dirichlet process mixtures and hidden Markov models. Finally, we develop an application to the detection of chromosomal aberrations in breast cancer by leveraging array comparative genomic hybridization data. Supplementary materials for this article are available online.
Keywords No keywords specified (fix it)
Categories No categories specified
(categorize this paper)
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 51,756
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

The Prior Probabilities of Phylogenetic Trees.Joel D. Velasco - 2008 - Biology and Philosophy 23 (4):455-473.
Uncommon Priors Require Origin Disputes.Robin Hanson - 2006 - Theory and Decision 61 (4):319-328.
Bayesian Model Learning Based on Predictive Entropy.Jukka Corander & Pekka Marttinen - 2006 - Journal of Logic, Language and Information 15 (1-2):5-20.
Where Do Bayesian Priors Come From?Patrick Suppes - 2007 - Synthese 156 (3):441-471.

Analytics

Added to PP index
2017-03-18

Total views
0

Recent downloads (6 months)
0

How can I increase my downloads?

Downloads

Sorry, there are not enough data points to plot this chart.

My notes