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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 analysis begins by investigating the order of integration of the respective variables using a battery of unit root and stationarity tests.
Each variable also displays 1 behavior since first-differencing of level data restores stationarity, as shown above.
A stationarity requirement, defined as a constant mean, variance and autocorrelation through time, constrains parameters to a certain range.
After having established the stationarity of the variables the production function was fitted.
The composition stationarity test using the hymenopteran data was designed in a similar way, using just the 16S gene.

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