The dependent Dirichlet process and related models

FA Quintana, P Müller, A Jara… - Statistical Science, 2022 - projecteuclid.org
Standard regression approaches assume that some finite number of the response
distribution characteristics, such as location and scale, change as a (parametric or …

[HTML][HTML] DPpackage: Bayesian semi-and nonparametric modeling in R

A Jara, TE Hanson, FA Quintana, P Müller… - Journal of statistical …, 2011 - ncbi.nlm.nih.gov
Data analysis sometimes requires the relaxation of parametric assumptions in order to gain
modeling flexibility and robustness against mis-specification of the probability model. In the …

Models beyond the Dirichlet process

A Lijoi, I Prünster - Bayesian nonparametrics, 2010 - books.google.com
Bayesian nonparametric inference is a relatively young area of research and it has recently
undergone a strong development. Most of its success can be explained by the considerable …

A computational approach for full nonparametric Bayesian inference under Dirichlet process mixture models

AE Gelfand, A Kottas - Journal of Computational and Graphical …, 2002 - Taylor & Francis
Widely used parametric generalized linear models are, unfortunately, a somewhat limited
class of specifications. Nonparametric aspects are often introduced to enrich this class …

Order-based dependent Dirichlet processes

JE Griffin, MFJ Steel - Journal of the American statistical …, 2006 - Taylor & Francis
In this article we propose a new framework for Bayesian nonparametric modeling with
continuous covariates. In particular, we allow the nonparametric distribution to depend on …

[PDF][PDF] Dirichlet process.

YW Teh - Encyclopedia of machine learning, 2010 - Citeseer
The Dirichlet process is a stochastic proces used in Bayesian nonparametric models of data,
particularly in Dirichlet process mixture models (also known as infinite mixture models). It is …

An ANOVA model for dependent random measures

M De Iorio, P Müller, GL Rosner… - Journal of the American …, 2004 - Taylor & Francis
We consider dependent nonparametric models for related random probability distributions.
For example, the random distributions might be indexed by a categorical covariate indicating …

Generalized spatial Dirichlet process models

JA Duan, M Guindani, AE Gelfand - Biometrika, 2007 - academic.oup.com
Many models for the study of point-referenced data explicitly introduce spatial random
effects to capture residual spatial association. These spatial effects are customarily modelled …

A semiparametric Bayesian approach to the random effects model

KP Kleinman, JG Ibrahim - Biometrics, 1998 - JSTOR
In longitudinal random effects models, the random effects are typically assumed to have a
normal distribution in both Bayesian and classical models. We provide a Bayesian model …

The nested Dirichlet process

A Rodriguez, DB Dunson… - Journal of the American …, 2008 - Taylor & Francis
In multicenter studies, subjects in different centers may have different outcome distributions.
This article is motivated by the problem of nonparametric modeling of these distributions …