Convergence rates of posterior distributions

Subhashis Ghosal; Jayanta K. Ghosh; Aad W. van der Vaart

doi:10.1214/aos/1016218228

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April 2000 Convergence rates of posterior distributions

Subhashis Ghosal, Jayanta K. Ghosh, Aad W. van der Vaart

Ann. Statist. 28(2): 500-531 (April 2000). DOI: 10.1214/aos/1016218228

Abstract

We consider the asymptotic behavior of posterior distributions and Bayes estimators for infinite-dimensional statistical models. We give general results on the rate of convergence of the posterior measure. These are applied to several examples, including priors on finite sieves, log-spline models, Dirichlet processes and interval censoring.

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Subhashis Ghosal. Jayanta K. Ghosh. Aad W. van der Vaart. "Convergence rates of posterior distributions." Ann. Statist. 28 (2) 500 - 531, April 2000. https://doi.org/10.1214/aos/1016218228