AI engineering glossary · Probability

What is stationary distribution?

Stationary distribution: A distribution over the states of a Markov chain that stays unchanged after one more step. Under suitable conditions the chain converges to it regardless of the starting state, which is the idea behind PageRank and MCMC.

Level: advancedTopic: Probability

Stationary distribution: an example

A two-state chain with switching probabilities 0.1 and 0.2 settles at long-run shares of 2/3 and 1/3.

Related terms

More Probability terms

Where you learn it

Stationary distribution is part of the AI Engineering Program, which teaches it with notes, a hands-on lab and an exam. The first lesson is free.

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