On some aspects of the asymptotic properties of Bayesian approaches in nonparametric and semiparametric models
Judith Rousseau, Jean-Bernard Salomond, Catia Scricciolo · ESAIM Proceedings · 2014
In this paper, we review some recent results obtained in the context of Bayesian non and semiparametric models in terms of posterior concentration, Bernstein-von Mises theorems and tests. Then two specific cases are studied in more details. The first concerns tests for monotonicity and the second some asymptotic properties of empirical Bayes procedures.