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A strictly stationary process (or time series) is one whose joint distribution is constant over time shifts. A weakly stationary (or covariance stationary) process or series is one whose mean and covariance function (variance and autocorrelation function) do not change over time.

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Whether a AR(P) process is stationary or not?

If you have an AR(p) process like this: $$ y_t = c + \alpha_1 y_{t - 1} + \cdots + \alpha_p y_{t - p} $$ Then you can build an equation like this: $$ z^p - \alpha_1 z^{p - 1} - \cdots - \alpha_{ …
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