Walker, S.G. (2003) On sufficient conditions for Bayesian consistency. Biometrika, 90 (2). pp. 482-488. ISSN 0006-3444.
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| Official URL http://dx.doi.org/10.1093/biomet/90.2.482 |
Abstract
This paper contributes to the theory of Bayesian consistency for a sequence of posterior and predictive distributions arising from an independent and identically distributed sample. A new sufficient condition for posterior Hellinger consistency is presented which provides motivation for recent results appearing in the literature. Such motivation is important since current sufficient conditions are not known to be necessary. It also provides new insights into Bayesian consistency. A new consistency theorem for the sequence of predictive densities is given.
| Item Type: | Article |
|---|---|
| Uncontrolled keywords: | Bayesian nonparametrics; consistency; Hellinger distance; predictive density |
| Subjects: | H Social Sciences > HA Statistics |
| Divisions: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science |
| Depositing User: | Judith Broom |
| Date Deposited: | 19 Dec 2007 18:21 |
| Last Modified: | 13 Mar 2012 10:08 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/583 (The current URI for this page, for reference purposes) |
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