Here's the Sims(2002) paper. It's equal to the published version.
The author gives the following example:
And tries to write it in the matrix notation of (1) in the paper.
However, his solution - in (4) - puts $\epsilon (t)$ in the first equation of (2) instead of $\nu (t-1)$, and $\nu (t-1)$ instead of $\epsilon (t)$. Is this correct, and why?
Also, when I try to write the the first equation of (2) the time notation doesn't match. The other two equations in (2) do match.
Any help would be appreciated.