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 ...

Probability Distribution Notes: Probability is a fundamental aspect of mathematics that helps us understand and quantify uncertainty. Mastery of this subject is essential for students, as it has ...

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, ...