---
tag: 0SRYJGXKR4
kind: concept
name: Convergence in distribution
aliases: [weak-convergence-of-random-variables, convergence-in-law]
msc: [60F05]
sources:
  - url: https://en.wikipedia.org/wiki/Convergence_of_random_variables
    locator: Convergence in distribution
---

## Summary

A sequence of random variables converges in distribution when their cumulative distribution functions converge to a limit at each point where the limit is continuous.
The node [[convergence in distribution|0JDAQHWA9N]] gives the precise definition.