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

First, we discuss basic probability notions from the viewpoint of category theory. Our approach is based on the following four "sine quibus non" conditions: 1. (elementary) category theory is ...

Articles in JASA focus on statistical applications, theory, and methods in economic, social, physical, engineering, and health sciences and on new methods of statistical education. Building on two ...

Introduces students to the tools methods and theory behind extracting insights from data. Covers algorithms of cleaning and munging data, probability theory and common distributions, statistical ...

This year's Abel Prize for mathematics goes to two influential probabilistic mathematicians. Probability, the redheaded stepchild of mathematics, isn't just for oddsmaking. Proofs that use ...