# Convergence in probability

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)



## [Convergence in probability](https://ocme.evemisslab.com/en/atlas/atlas-convergence-in-probability/)

X_n converges in probability to X when, for every epsilon>0, the probability of deviation greater than epsilon tends to zero.

atlas-convergence-in-probability · canonical_mko

[Convergence in probability](https://ocme.evemisslab.com/en/mko/mko-convergence-in-probability/)

## Prerequisite nodes


- [Finite joint distribution](https://ocme.evemisslab.com/en/atlas/atlas-finite-joint-distribution/)
- [Real random variables on finite sample spaces](https://ocme.evemisslab.com/en/atlas/atlas-random-variable/)
- [Probability on finite sample spaces](https://ocme.evemisslab.com/en/atlas/atlas-probability/)
- [Sequence](https://ocme.evemisslab.com/en/atlas/atlas-sequence/)
- [Convergence in a metric space](https://ocme.evemisslab.com/en/atlas/atlas-metric-convergence/)