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A $k\times k$ matrix of covariances between all pairs of $k$ random variables. It is also called variance-covariance matrix or simply the covariance matrix.
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VAR(p) Model Covariances and Moment Equation
I'm currently going through the book Analysis of Financial Time Series by Ruey S. Tsay and reached the following statement (The book can be found here, with VAR(1) included in the preview):
Where:
…