The world is full of uncertainty: accidents, storms, unruly financial markets, noisy communications. The world is also full of data. Probabilistic modeling and the related field of statistical ...

This course builds a rigorous foundation of probability. Topics covered include: basic concepts of probability theory and statistics, counting, axioms of probability, independence, Bayes rule, ...

Statistical convergence of random variables provides a rigorous framework to describe how sequences of random quantities approach limiting behaviour in probability, in distribution and in more refined ...

Modern multivariate analysis relies heavily on probabilistic modelling to capture the joint behaviour of multiple interdependent variables. At its core lies the formulation of a joint probability ...

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 ...