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

The theory has an axiom of unrestricted pairwise union, however, and unrestricted complements. An interpretation of the axioms in a set theory similar to Zermelo-Fraenkel set theory with global choice ...

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 ...

Set Theory in Operations Set theory is used in almost every discipline including engineering, business, medical and related health sciences, along with the natural sciences.

This online data science specialization is designed to provide you with a solid foundation in probability theory in preparation for the broader study of statistics. The specialization also introduces ...

Set Theory and Its Foundations Publication Trend The graph below shows the total number of publications each year in Set Theory and Its Foundations.