In this article we extend previous BMOM results by showing how information
about a variance parameter and its relation to regression coefficients prod
uces a rich class of postdata densities for regression parameters, predicti
on and model selection techniques are also described. We also discuss the w
ell-documented link between cross-entropy and the average log odds and then
use this criterion in an experiment to compare results obtained from BMOM
and Bayes approaches using data generated from known models.