# Strong law of large numbers for finite-valued IID sequences

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)



## [Strong law of large numbers for finite-valued IID sequences](https://ocme.evemisslab.com/en/atlas/atlas-strong-law-large-numbers-finite-valued-iid/)

The sample means of a finite-valued infinite IID sequence converge almost surely to the common expectation.

atlas-strong-law-large-numbers-finite-valued-iid · canonical_mko

[Strong law of large numbers for finite-valued IID sequences](https://ocme.evemisslab.com/en/mko/mko-strong-law-large-numbers-finite-valued-iid/)

## Prerequisite nodes


- [Independent identically distributed sequence](https://ocme.evemisslab.com/en/atlas/atlas-iid-sequence/)
- [Almost-sure convergence](https://ocme.evemisslab.com/en/atlas/atlas-almost-sure-convergence/)
- [Expectation in finite models](https://ocme.evemisslab.com/en/atlas/atlas-expectation/)
- [Sigma-algebras and measure spaces](https://ocme.evemisslab.com/en/atlas/atlas-sigma-algebra-measure-space/)
- [Variance in finite probability models](https://ocme.evemisslab.com/en/atlas/atlas-variance/)