AN INTRODUCTION TO BAYE’S THEOREM

ABSTRACT

When applied, the probabilities involved in Bayes’ theorem may have different interpretations. In one of these interpretations, the theorem is used directly as part of a particular approach to statistical inference. In particular, with the Bayesian interpretation of probability, the theorem expresses how a subjective degree of belief should rationally change to account for evidence: this is Bayesian inference, which is fundamental to Bayesian statistics. However, Bayes’ theorem has applications in a wide range of calculations involving probabilities, not just in Bayesian inference. This paper describes briefly the concept of Baye’s Theorem.

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