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st: RE: Noconst in cointegration relationship in VECM
From
Nick Cox <[email protected]>
To
"'[email protected]'" <[email protected]>
Subject
st: RE: Noconst in cointegration relationship in VECM
Date
Thu, 28 Apr 2011 14:49:51 +0100
I don't know how to do what you want, but I don't see that it makes much sense anyway.
If I am misunderstanding, naturally feel free to correct me, but this is my analysis.
I am regarding -vec- as just a fancy regression, but that could be very wrong.
The names of your variables indicate that they are all natural logs of something else.
If you want to force a relationship through the origin, that implies, as I understand it, forcing it through lnprice = lnrent = lnAM = 0 which in turn implies that there is some white magic about the point with three coordinates
Price = 1 (in whatever units price is measured)
Rent = 1 (ditto)
AM = 1 (ditto)
-- which seems an almighty strong assumption, and privileges the units of measuring you are using, which normally is just a matter of convention.
Otherwise put, there can be some definite rationale about forcing through an origin (0, 0) which is, in original coordinates, a limiting case which should be approached, e.g. tiny animals can be expected to converge on some point like
Weight = 0, length = 0
But why should this be true on logarithmic scales?
Nick
[email protected]
Svein Olav Krakstad
I am trying to have no constant in the cointegration vector in the VEC model.
I know how to have constraints on the variables, but the constant does
not work in the same way. For example if I restrict (i.e.) the
variable lnrent:
constraint define 1 [_ce1]lnrent=1
vec lnprice lnrent lnAM, rank(1) lags(2) trend(constant) bconstraints(1)
It works fine.
Then I am thinking that it should only be to restrict the constant in
the same way:
constraint define 1 [_ce1]_cons=0
vec lnprice lnrent lnAM, rank(1) lags(2) trend(constant) bconstraints(1)
But this do not work.
Could you please help me to figure this out?
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