New approaches to Bayesian consistency

Stephen Walker

doi:10.1214/009053604000000409

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Home > Journals > Ann. Statist. > Volume 32 > Issue 5 > Article

October 2004 New approaches to Bayesian consistency

Stephen Walker

Ann. Statist. 32(5): 2028-2043 (October 2004). DOI: 10.1214/009053604000000409

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Abstract

We use martingales to study Bayesian consistency. We derive sufficient conditions for both Hellinger and Kullback–Leibler consistency, which do not rely on the use of a sieve. Alternative sufficient conditions for Hellinger consistency are also found and demonstrated on examples.