Probability theory forms the mathematical backbone for quantifying uncertainty and random events, providing a rigorous language with which to describe both everyday phenomena and complex scientific ...

Probability theory has long provided a rigorous framework for quantifying uncertainty, yet its extension to infinite sets introduces profound conceptual challenges and opportunities. Contemporary ...

This course is available on the MSc in Applicable Mathematics, MSc in Financial Mathematics and MSc in Risk and Stochastics. This course is available as an outside option to students on other ...

This course is available on the MSc in Financial Mathematics, MSc in Mathematics and Computation and MSc in Quantitative Methods for Risk Management. This course is available with permission as an ...

We will start by embedding probability theory into a general framework, where we will construct infinite sequences of independent random variables, and (re)visit laws of large numbers, 0-1 laws and ...