# Finite conditional expectation

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)



## [Finite conditional expectation](https://ocme.evemisslab.com/en/atlas/atlas-conditional-expectation/)

Relative to a partition-generated sigma-algebra on a finite probability space, conditional expectation takes the weighted mean on each positive-mass block and preserves block integrals.

atlas-conditional-expectation · canonical_mko

[Finite conditional expectation](https://ocme.evemisslab.com/en/mko/mko-conditional-expectation/)

## Prerequisite nodes


- [Finite joint distribution](https://ocme.evemisslab.com/en/atlas/atlas-finite-joint-distribution/)
- [Measurable function](https://ocme.evemisslab.com/en/atlas/atlas-measurable-function/)
- [Expectation in finite models](https://ocme.evemisslab.com/en/atlas/atlas-expectation/)
- [Conditional probability in finite models](https://ocme.evemisslab.com/en/atlas/atlas-conditional-probability/)
- [Real random variables on finite sample spaces](https://ocme.evemisslab.com/en/atlas/atlas-random-variable/)