---
tag: 0AAXWGT5TD
kind: concept
name: Almost sure convergence
aliases: [convergence-almost-surely, convergence-with-probability-one, strong-convergence-of-random-variables]
msc: [60F15]
sources:
  - url: https://en.wikipedia.org/wiki/Convergence_of_random_variables
    locator: Almost sure convergence
---

## Summary

A sequence of random variables converges almost surely when, for almost every outcome, the sequence of values converges.
The node [[almost sure convergence|04P7D63W8P]] gives the precise definition.