Publications [#258068] of David B. Dunson
search arxiv.org.Papers Published
- Dunson, DB; Pillai, N; Park, JH. "Bayesian density regression." Journal of the Royal Statistical Society Series B Statistical Methodology 69.2 (April, 2007): 163-183. [doi]
(last updated on 2026/01/15)Abstract:
The paper considers Bayesian methods for density regression, allowing a random probability distribution to change flexibly with multiple predictors. The conditional response distribution is expressed as a non-parametric mixture of regression models, with the mixture distribution changing with predictors. A class of weighted mixture of Dirichlet process priors is proposed for the uncountable collection of mixture distributions. It is shown that this specification results in a generalized Pólya urn scheme, which incorporates weights that are dependent on the distance between subjects' predictor values. To allow local dependence in the mixture distributions, we propose a kernel-based weighting scheme. A Gibbs sampling algorithm is developed for posterior computation. The methods are illustrated by using simulated data examples and an epidemiologic application. © Royal Statistical Society.