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math.ST2009★ 1 cited
Bernstein Von Mises Theorem for linear functionals of the density
Vincent Rivoirard, Judith Rousseau
In this paper, we study the asymptotic posterior distribution of linear functionals of the density. In particular, we give general conditions to obtain a semiparametric version of…
math.ST2008★ 21 cited
Bounds for Bayesian order identification with application to mixtures
Antoine Chambaz, Judith Rousseau
The efficiency of two Bayesian order estimators is studied. By using nonparametric techniques, we prove new underestimation and overestimation bounds. The results apply to various…