English

On rates of convergence for posterior distributions in infinite-dimensional models

Statistics Theory 2007-08-22 v1 Statistics Theory

Abstract

This paper introduces a new approach to the study of rates of convergence for posterior distributions. It is a natural extension of a recent approach to the study of Bayesian consistency. In particular, we improve on current rates of convergence for models including the mixture of Dirichlet process model and the random Bernstein polynomial model.

Keywords

Cite

@article{arxiv.0708.1892,
  title  = {On rates of convergence for posterior distributions in infinite-dimensional models},
  author = {Stephen G. Walker and Antonio Lijoi and Igor Prünster},
  journal= {arXiv preprint arXiv:0708.1892},
  year   = {2007}
}

Comments

Published at http://dx.doi.org/10.1214/009053606000001361 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)