Basic Bayesian Probabilities

This chapter contains a historical introduction and presents the basic elements of the Bayesian approach in probabilities, namely, the notions of exchangeability and De Finetti’s theorem. The combination of uncertainty quantification techniques and Bayesian procedures is introduced, namely, for the practical use of De Finetti’s theorem. Programs in R implement the elements introduced, namely, the representation of probability spaces and De Finetti’s theorem. Their use is exemplified.