stationary stochastic process

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Definitions from WordNet

Noun stationary stochastic process has 1 sense

stationary stochastic process - a stochastic process in which the distribution of the random variables is the same for any value of the variable parameter
--₁ is a kind of stochastic process

Definitions from the Web

Stationary Stochastic Process

A stationary stochastic process is a sequence of random variables that satisfies the property of stationarity.

Definitions:

Stationary: In the context of stochastic processes, stationary means that the statistical properties of the process remain constant over time. This property does not depend on absolute time but on the relative positions of observations within the sequence.
Stochastic Process: A stochastic process refers to the collection of random variables indexed by time. It is a mathematical model used to describe the evolution of a system over time, where random factors play a significant role.

Examples:

Example 1: A coin-flipping experiment where the probability of heads or tails remains the same regardless of when the flip occurs, is a stationary stochastic process.
Example 2: The daily stock prices of a company, assuming that the statistical properties of the process remain constant, can be modeled as a stationary stochastic process.

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