Am 14.09.2020 um 16:15 schrieb Riccardo (Jack) Lucchetti:
On Mon, 14 Sep 2020, Sven Schreiber wrote:
> wrong. Gretl can estimate these structural equations already, with TSLS
> equation-per-equation. Of course that's not the efficient estimator
> here, and I guess that's what you had in mind. But still it can be done,
> since both equations are linear by themselves.
Of course you're right, you can use single-equation methods as long as
all equations are linear in the coefficients. But then, you have no
way, at present to (a) estimate the coefficients jointly (b) set
cross-equation restrictions (c) solve the model, unless all the
variables are linear.
Point (b) could be an issue, yes. Task (c) is supposed to be
outsourced
to bimets in the current discussion I think. (And (a) is the
non-efficiency.)
> I'd even say you can go a long way with linear behavioral systems in the
> sense that some variables only appear in logs (including log-differences
> as growth rates) and others only in raw levels (including absolute
> differences, e.g. for interest rates). This would be less general than
> your example above where x and y appear both in levels as well as in
> logs. Then you could estimate it in gretl as a system directly -- OK you
> can't do FIML because the non-linear identities linking the logs and the
> levels are not allowed. But that's not too bad IMHO.
It depends on your definition of "not too bad"; the large simultaneous
systems I've seen often include nonlinear identities.
Yes, but do people always want to do FIML here? In this less general
case --but still with nonlinear identities-- you can do TSLS or 3SLS in
gretl, including (linear) cross-equation restrictions AFAIK.
Again, then outsourcing the simulation part to bimets.
cheers
sven