# Finite martingale

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 martingale](https://ocme.evemisslab.com/en/atlas/atlas-martingale/)

An integrable finite process adapted to the same filtration is a martingale when the next value's conditional expectation equals the current value almost surely at every step.

atlas-martingale · canonical_mko

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

## Prerequisite nodes


- [Finite filtration](https://ocme.evemisslab.com/en/atlas/atlas-finite-filtration/)
- [Finite conditional expectation](https://ocme.evemisslab.com/en/atlas/atlas-conditional-expectation/)
- [Discrete-time stochastic process](https://ocme.evemisslab.com/en/atlas/atlas-discrete-stochastic-process/)
- [Expectation in finite models](https://ocme.evemisslab.com/en/atlas/atlas-expectation/)
- [Measurable function](https://ocme.evemisslab.com/en/atlas/atlas-measurable-function/)