On strong Hellinger consistency of posterior distributions
Yang Xing and
Bo Ranneby
Journal of Nonparametric Statistics, 2012, vol. 24, issue 2, 505-515
Abstract:
We establish a sufficient condition ensuring strong Hellinger consistency of posterior distributions. We also prove a strong Hellinger consistency theorem for the pseudoposterior distributions based on the likelihood ratio with power 0<α<1, which are introduced by Walker and Hjort [2001 ‘On Bayesian Consistency’, J. R. Statist. Soc., B 63, 811–821]. Our result is an extension of their theorem for α=½.
Date: 2012
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DOI: 10.1080/10485252.2012.655275
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