probability theory - Strong Law of Large Numbers (Klenke's proof) - Mathematics Stack Exchange

This is a part of the proof of the SLLN in Achim Klenke: »Probability Theory — A Comprehensive Course« (page 113). Now, what does "$\mathbb{1}_{\{x < n\}}$" (sorry, can't typeset this properly)

Law of Large Numbers Strong and weak, with proofs and exercises

Law of large numbers and theoretical probability - Mathematics

Wanted to share my favorite proof of the Strong law of large

13. The Weak Law and the Strong Law of Large Numbers - ppt video

probability - Condition for strong law of large numbers

PDF) Probability Theory A Comprehensive Course Second Edition

Law of Large Numbers Strong and weak, with proofs and exercises

Proof of the Law of Large Numbers Part 1: The Weak Law

Proof of the Law of Large Numbers Part 2: The Strong Law

Brownian Motion

Proof of the Law of Large Numbers Part 2: The Strong Law