**Stationary distribution** may refer to:

- The limiting distribution in a Markov chain
- The marginal distribution of a stationary process or stationary time series
- The set of joint probability distributions of a stationary process or stationary time series

In some fields of application, the term **stable distribution** is used for the equivalent of a stationary (marginal) distribution, although in probability and statistics the term has a rather different meaning: see stable distribution.

Crudely stated, all of the above are specific cases of a common general concept. A stationary distribution is a specific entity which is unchanged by the effect of some matrix or operator: it need not be unique. Thus stationary distributions are related to eigenvectors for which the eigenvalue is unity.

Read more about Stationary Distribution: See Also

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### Famous quotes containing the words distribution and/or stationary:

“Classical and romantic: private language of a family quarrel, a dead dispute over the *distribution* of emphasis between man and nature.”

—Cyril Connolly (1903–1974)

“It is the dissenter, the theorist, the aspirant, who is quitting this ancient domain to embark on seas of adventure, who engages our interest. Omitting then for the present all notice of the *stationary* class, we shall find that the movement party divides itself into two classes, the actors, and the students.”

—Ralph Waldo Emerson (1803–1882)