@MISC{Definition_bayes’, author = {From This Definition and One Obtains}, title = {Bayes ’ theorem,}, year = {} }

Share

OpenURL

Abstract

An abstract definition of probability can be given by considering a set S, called the sample space, and possible subsets A,B,..., the interpretation of which is left open. The probability P is a real-valued function defined by the following axioms due to Kolmogorov [9]: 1. For every subset A in S, P(A) ≥ 0. 2. For disjoint subsets (i.e., A ∩ B = ∅), P(A ∪ B)=P(A)+P(B).