The Annals of Mathematical Statistics

Consistency a Posteriori

Robert H. Berk

Abstract

Conditions are given under which a sequence of posterior distributions converges weakly to a degenerate distribution. It is not assumed that the model being used actually governs the data. Exponential models are studied in particular and are shown to be well behaved under mild assumptions. Large-deviation results for $U$-statistics and posterior odds are also given.

Article information

Source
Ann. Math. Statist. Volume 41, Number 3 (1970), 894-906.

Dates
First available in Project Euclid: 27 April 2007

http://projecteuclid.org/euclid.aoms/1177696967

Digital Object Identifier
doi:10.1214/aoms/1177696967

Mathematical Reviews number (MathSciNet)
MR266356

Zentralblatt MATH identifier
0214.45703

JSTOR