Skip to main content
SLU publication database (SLUpub)

Report2008

On Bayesian consistency

Xing, Yang; Ranneby, Bo

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). Our result is an extension of their theorem for alpha = 1/2

Keywords

Hellinger consistency; posterior distribution; nonparametric model

Published in

Research report (Centre of Biostochastics)
2008, number: 2008:9, pages: 1-14
Publisher: Swedish University of Agricultural Sciences

SLU Authors

UKÄ Subject classification

Probability Theory and Statistics

Permanent link to this page (URI)

https://res.slu.se/id/publ/18926