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.

On some aspects of the asymptotic properties of Bayesian approaches in nonparametric and semiparametric models

SCRICCIOLO, CATIA
2014

Abstract

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.
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Editors-in-Chief: Djalil Chafaï, Pauline Lafitte, Tony Lelièvre and Clément Mouhot
ESAIM: Proc. Volume 44, January 2014 Journées MAS 2012
Judith, Rousseau; Jean Bernard, Salomond; Scricciolo, Catia
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11565/3865103
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