# Weak law of large numbers

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.

[Catalogue presentation and source-binding data](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [Weak law of large numbers](https://ocme.evemisslab.com/en/atlas/atlas-weak-law-large-numbers/)

For IID variables with finite variance, a Chebyshev bound shows the sample mean converges in probability to the common mean.

atlas-weak-law-large-numbers · canonical_mko

[Weak law of large numbers](https://ocme.evemisslab.com/en/mko/mko-weak-law-large-numbers/)

## Prerequisite nodes


- [Independent identically distributed sequence](https://ocme.evemisslab.com/en/atlas/atlas-iid-sequence/)
- [Expectation in finite models](https://ocme.evemisslab.com/en/atlas/atlas-expectation/)
- [Variance in finite probability models](https://ocme.evemisslab.com/en/atlas/atlas-variance/)
- [Convergence in probability](https://ocme.evemisslab.com/en/atlas/atlas-convergence-in-probability/)