Relative Belief Inferences from Decision Theory

Abstract

Relative belief inferences are shown to arise as Bayes rules or limiting Bayes rules. These inferences are invariant under reparameterizations and possess a number of optimal properties. In particular, relative belief inferences are based on a direct measure of statistical evidence.

Keywords

• Bayesian inference
• evidential inference
• statistical evidence
• relative belief
• loss functions
• Bayesian-unbiasedness