Unit root

Topic of Forecasting, part of Time series

Unit root

Type Topic
Taught in Forecasting
Part Time series
Questions using it 1

An autoregression has a unit root when its characteristic polynomial has a root at 1, as the random walk X_t=X_{t-1}+\varepsilon_t does. The series is then not stationary, its variance grows with time, and differencing it once removes the root. Concept check C47 asks about it.

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See also

Autoregression and moving averages · Stationarity of a time series · Variance · ARIMA model · Accidental-deaths data · Traffic data · Partial autocorrelation · Seasonality

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