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 ...

In 1929, a few years prior to his colleague Kolmogorov's Grundbegriffe, the leading Russian probabilist Khinchin published a paper in which he commented on the foundational ambitions of von Mises' ...

What makes a proof stronger than a guess? What does evidence look like in the realm of mathematical abstraction? Hear the mathematician Melanie Matchett Wood explain how probability helps to guide ...

Let $(\Omega, \mathscr{a}, P)$ be a probability space and $\mathscr{B} \subset \mathscr{a}$ be a $\sigma$-field. Let $s$ with $1 < s < \infty$ be fixed. If $f \in L_s ...