Divergence measures quantify the dissimilarity between probability distributions and lie at the heart of modern information theory and statistical inference. Originating with the Kullback–Leibler ...

Probability theory provides the mathematical language for quantifying uncertainty and analysing random phenomena. Its foundations rest on measure-theoretic notions of probability spaces and σ-algebras ...

Theory of sets -- Point set topology -- Set functions -- Construction and properties of measures -- Definitions and properties of the integral -- Related spaces and measures -- The space of measurable ...