Integration Theory and Random Variables

Stefan Richter 🌐

November 19, 2004

Abstract

Lebesgue-style integration plays a major role in advanced probability. We formalize concepts of elementary measure theory, real-valued random variables as Borel-measurable functions, and a stepwise inductive definition of the integral itself. All proofs are carried out in human readable style using the Isar language.
BSD License

Extra note

Note: This article is of historical interest only. Lebesgue-style integration and probability theory are now available as part of the Isabelle/HOL distribution (directory Probability).

Topics

Theories of Integration