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 ...

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

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 ...

This paper considers some problems in the probabilistic analysis of physical evidence in criminal investigations. Two basic assumptions are made: (1) That the number of persons or objects possessing a ...

Copulas are functions that enable the construction of multivariate probability distributions by binding together univariate marginal distributions. Central to probability theory, they allow ...