Mathematics – Statistics Theory
Scientific paper
2005-03-29
Annals of Statistics 2004, Vol. 32, No. 5, 2028-2043
Mathematics
Statistics Theory
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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