**Article by: Jimena Lovato** | Last update: April 10, 2022

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In mathematics, a stationary process (or strictly stationary process) is a stochastic process whose probability distribution at a fixed time instant or fixed position is constant for all time instants or positions.

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## What is a stationary process and what is its classification?

A stationary stochastic process, or simply a stationary process in mathematics, is one in which the mean and variance do not change over time. This is technically “second order stationarity” or “weak stationarity”. We can classify random processes based on many different criteria.

## What is it to be stationary?

1. adj. Said of a person or a thing: That remains in the same place, state or situation.

## What are stationary increments?

In a process of steady increments, process changes of equal size are equal in distribution. , it is called punctual or counting if N

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