SEMAINE D'ÉTUDE SUR LE ROLE DE L ANALYSE ECONOMETRIQUE ETC. 3090
genous variables which are unbiased conditional on the values
of the predetermined variables (*°). It has also been suggested
that the added asymptotic efficiency in the use of other estim-
ators stemming from the employment of a priori information
may in fact frequently be quite illusory as such information
may be incorrect (1%).
There is substantial merit in all of these arguments in
various contexts. Fortunately, the issue is rather easy to
decide in the context of estimation of the reduced form of a
dynamic economy-wide econometric model. In the first place,
such a model generally involves lagged endogenous variables.
To estimate even the reduced form by ordinary least squares
when such variables appear on the right-hand side does not
yleld consistent estimates in the presence of serial correlation,
substantially as seen above. Moreover, even if the assumption
of no serial correlation is made, ordinary least squares still
does not give an unbiased estimate of the parameters nor a
conditionally unbiased forecast of the dependent variable.
Nevertheless, one might plausibly be willing to accept such
defects in ordinary least squares for the sake of greater effi-
ciency. Such efficiency fails, asymptotically, however, if the
overidentifying information on which structural estimation by
other means is based is approximately correct as the issue is
again one of good approximation rather than of correctness (7).
Since restrictions on coefficients are more likely to be good
approximations than are restrictions on disturbances concern
ing which economic theory provides relatively little informa.
tion, ordinary least squares is unlikely to be asymptotically
efficient.
On the other hand, such information as is available on the
small sample properties of the limited-information estimators
‘discussed below) does suggest that asymptotic efficiency may
VV.
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J
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SH
Fisher - pag. 15