Unit root

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In autoregressive models in econometrics a unit root is present if the coefficient | b | = 1 in y_{t}=ax+by_{t-1}+\varepsilon_{t}, where yt is the variable of interest at time t, b is the slope coefficient, and \varepsilon_{t} is the error component.

If the unit root is present, the time series is said to have a stochastic trend, or being integrated of order one or I(1).

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