8.6 Cointegrated VAR Models

To better understand cointegration, we focus on VAR models for their simplicity in estimation. Consider a k-dimensional VAR(p) time series Inline with possible time trend so that the model is

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where the innovation Inline is assumed to be Gaussian and Inline = Inline, where Inline and Inline are k-dimensional constant vectors. Write Inline = Inline. Recall that if all zeros of the determinant Inline are outside the unit circle, then is unit-root stationary. In the literature, a unit-root stationary series is said to be ...

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