# Finite-state Markov chain

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-state Markov chain](https://ocme.evemisslab.com/en/atlas/atlas-finite-markov-chain/)

A finite time-homogeneous Markov chain uses a row-stochastic transition kernel and, when needed, an initial law to specify finite path probabilities.

atlas-finite-markov-chain · canonical_mko

[Finite-state Markov chain](https://ocme.evemisslab.com/en/mko/mko-finite-markov-chain/)

## Prerequisite nodes


- [Discrete-time stochastic process](https://ocme.evemisslab.com/en/atlas/atlas-discrete-stochastic-process/)
- [Finite matrices: dimensions, indexing, and transpose](https://ocme.evemisslab.com/en/atlas/atlas-matrix/)
- [Conditional probability in finite models](https://ocme.evemisslab.com/en/atlas/atlas-conditional-probability/)