Vague Convergence in Measure-theoretic Probability Theory - Equivalent Conditions

We give an introduction to vague convergence and see several equivalent conditions of it.

Analysis

The Lebesgue-Radon-Nikodym theorem and how von Neumann proved it

An introductionIf one wants to learn the fundamental theorem of Calculus in the sense of Lebesgue integral, properties of mea...

Analysis