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On strong Hellinger consistency of posterior distributions

Xing, Yang LU and Ranneby, Bo (2012) In Journal of Nonparametric Statistics 24(2). p.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 < alpha < 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 alpha = 1/2.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Hellinger consistency, posterior distribution, nonparametric model
in
Journal of Nonparametric Statistics
volume
24
issue
2
pages
505 - 515
publisher
Taylor & Francis
external identifiers
  • wos:000303576400015
  • scopus:84860792073
ISSN
1048-5252
DOI
10.1080/10485252.2012.655275
language
English
LU publication?
yes
id
7d1cf422-95ad-41ee-9c2f-20ae5cd95fa9 (old id 2826882)
date added to LUP
2016-04-01 13:14:05
date last changed
2025-10-14 12:47:06
@article{7d1cf422-95ad-41ee-9c2f-20ae5cd95fa9,
  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 &lt; alpha &lt; 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 alpha = 1/2.}},
  author       = {{Xing, Yang and Ranneby, Bo}},
  issn         = {{1048-5252}},
  keywords     = {{Hellinger consistency; posterior distribution; nonparametric model}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{505--515}},
  publisher    = {{Taylor & Francis}},
  series       = {{Journal of Nonparametric Statistics}},
  title        = {{On strong Hellinger consistency of posterior distributions}},
  url          = {{http://dx.doi.org/10.1080/10485252.2012.655275}},
  doi          = {{10.1080/10485252.2012.655275}},
  volume       = {{24}},
  year         = {{2012}},
}