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What does stationarity mean?

Looking for the meaning or definition of the word stationarity? Here's what it means.

Noun
  1. The condition of being stationary
  2. (mathematics) The condition of a series in which the value at all points is the same; the stationary value itself
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Examples
Coefficients of the ARMA models are also checked for both stationarity and invertibility.
The ADF, DF-GLS and NP test the null of unit root whereas the KPSS tests the null of stationarity.
The logic for requiring stationarity is that models inferred from stationary series are also stationary or stable.
After having established the stationarity of the variables the production function was fitted.
Testing for cointegration involves testing the residuals from an OLS regression for stationarity.
A stationarity requirement, defined as a constant mean, variance and autocorrelation through time, constrains parameters to a certain range.

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