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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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The logic for requiring stationarity is that models inferred from stationary series are also stationary or stable.
Given the nature of time-series data, it is necessary to test the stationarity of each individual series.
A stationarity requirement, defined as a constant mean, variance and autocorrelation through time, constrains parameters to a certain range.
Each variable also displays 1 behavior since first-differencing of level data restores stationarity, as shown above.
To ascertain nonstationarity or stationarity of time series variables, DF-GLS, Ng-Perron and KPSS tests are implemented.
Coefficients of the ARMA models are also checked for both stationarity and invertibility.

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