Posterior concentration rates for empirical Bayes procedures with applications to Dirichlet process mixtures

We provide conditions on the statistical model and the prior probability law to derive contraction rates of posterior distributions corresponding to data-dependent priors in an empirical Bayes approach for selecting prior hyper-parameter values. We aim at giving conditions in the same spirit as thos...

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Bibliographic Details
Main Authors: Donnet, S, Rivoirard, V, Rousseau, J, Scricciolo, C
Format: Journal article
Published: Bernoulli Society for Mathematical Statistics and Probability 2017