English

On uniform continuity of posterior distributions

Statistics Theory 2019-09-24 v1 Probability Statistics Theory

Abstract

In the setting of dominated statistical models, we provide conditions yielding strong continuity of the posterior distribution with respect to the observed data. We show some applications, with special focus on exponential models.

Keywords

Cite

@article{arxiv.1909.10197,
  title  = {On uniform continuity of posterior distributions},
  author = {Emanuele Dolera and Edoardo Mainini},
  journal= {arXiv preprint arXiv:1909.10197},
  year   = {2019}
}