Imprecise probability theory extends classical probability by allowing uncertainty to be represented through sets of probability measures rather than single distributions. This approach acknowledges ...

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 ...

This is a graduate-level course focused on techniques and models in modern discrete probability. Topics include: the first and second moment methods, Chernoff bounds and large deviations, martingales, ...