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On Bayesian consistency

delete2002-04-21
delete67
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OA
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S
Stephen G. Walker *
N
Nils Lid Hjort
DOI:10.1111/1467-9868.00314delete
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Abstract

Abstract

En 中文
We consider a sequence of posterior distributions based on a data-dependent prior (which we shall refer to as a pseudoposterior distribution) and establish simple conditions under which the sequence is Hellinger consistent. It is shown how investigations into these pseudoposteriors assist with the understanding of some true posterior distributions, including Polya trees, the infinite dimensional exponential family and mixture models.
Keywords:
asymptotics
Bayesian sieve
Bayes nonparametrics
consistency
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Journal

J
Journal of the Royal Statistical Society Series B-Statistical Methodology
IF:
3.6
Papers:
1.5K
Citations:
3.2W

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