RECONCILING BAYESIAN AND NON-BAYESIAN ANALYSIS

This paper is an attempt to reconcile Bayesian and non-Bayesian approaches to statistical inference, by casting both in terms of a broader formalism. In particular, this paper is an attempt to show that when one extends coventional Bayesian analysis to distinguish the truth from one's guess for the truth, one gains a broader perspective which allows the inclusion on non-Bayesian formalisms. Amongst other things, this perspective shows how it is possible for non-Bayesian techniques to perform well, dispite their handicaps.