Publications [#258056] of David B. Dunson

Papers Published

1. MacLehose, RF; Dunson, DB, Nonparametric Bayes kernel-based priors for functional data analysis, Statistica Sinica, vol. 19 no. 2 (April, 2009), pp. 611-629, ISSN 1017-0405
   (last updated on 2024/04/25)

   Abstract:
   We focus on developing nonparametric Bayes methods for collections of dependent random functions, allowing individual curves to vary flexibly while adaptively borrowing information. A prior is proposed, which is expressed as a hierarchical mixture of weighted kernels placed at unknown locations. The induced prior for any individual function is shown to fall within a reproducing kernel Hilbert space. We allow flexible borrowing of information through the use of a hierarchical Dirichlet process prior for the random locations, along with a functional Dirichlet process for the weights. Theoretical properties are considered and an efficient MCMC algorithm is developed, relying on stick-breaking truncations. The methods are illustrated using simulation examples and an application to reproductive hormone data.