Bayes Theorem from a Sampling-Resampling Perspective

Abstract : Even to the initiated, statistical calculations based on Bayes theorem can be daunting because of the numerical integrations required in all but the simplest applications. Moreover, from a teaching perspective, introductions to Bayesian statistics-if they are given at all-are circumscribed by these apparent calculational difficulties. Here we offer a straightforward sampling-resampling perspective on Bayesian inference, which has both pedagogic appeal and suggests easily implemented calculation strategies.