Hi Jack,
Very nice explanation. I'm sure this point is obscure for most of the
applied econometricians.
I really understand the problem but this is exactly the kind of model I want
to explore.
I'm now working in writing a general procedure for this kind of estimation
using Gauss.
If it's work nicely I believe I can translate the code to GRETL and post it.
Cheers,
Rick.
--------------------------------------------------
From: "Riccardo (Jack) Lucchetti" <r.lucchetti(a)univpm.it>
Sent: Sunday, May 31, 2009 8:46 AM
To: "Gretl list" <gretl-users(a)lists.wfu.edu>
Subject: Re: [Gretl-users] VEC Question
On Fri, 29 May 2009, Ricardo Gonçalves Silva wrote:
> Hi Sven,
>
> Nice. I need the estimates and the impulses responses.
>
> Thanks
>
> Ricardo
I'm sorry if this is obvious to you, but since it isn't obvious in general
I thought I'd post it to the list. The difficulty with this from an
econometric viewpoint is that if you want to estimate a model like
\Delta y_t = \alpha \beta' y_{t-1} + \Gamma y_{t-12} + u_t
the problem of estimating \beta via ML is not trivial: the VAR
representation of the above is a 13-order VAR which not only contains
"holes", but also other constraints:
y_t = A_1 y_{t-1} + A_2 y_{t-2} + ... + A_{13} y_{t-13} + u_t
where
(1) A_1 = I + alpha \beta'
(2) A_{i} = 0 for i=2..11
(3) A_{12} = -A_{13}
The theoretical construction for the Johansen estimator assumes that the
only constraint to the VAR representation is (1) (ok, deterministic terms
aside), and the code is written on that basis.
Riccardo (Jack) Lucchetti
Dipartimento di Economia
Università Politecnica delle Marche
r.lucchetti(a)univpm.it
http://www.econ.univpm.it/lucchetti
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