New approaches to Bayesian consistency

Mathematics – Statistics Theory

Scientific paper

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Published at http://dx.doi.org/10.1214/009053604000000409 in the Annals of Statistics (http://www.imstat.org/aos/) by the Inst

Scientific paper

10.1214/009053604000000409

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.

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