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zations. The second includes: two-stage least squares; limited-
information maximum likelihood; the other members of
Theil’s k-class; Theil’s h-class; and Nagar’s double k-class (2).
All the estimators in this group have the common property that
whereas (unlike ordinary least squares) they take account of
the simultaneous nature (if any) of the equations in the model
to be estimated, they use only a priori restrictions on one
equation at a time. Accordingly, we shall call such estimators
« limited information » methods. The last class of estimators
consists of those methods which do use information on all equa-
tions at once, what we shall term « full information » methods
Among these, of course, is full-information maximum likeli-
hood, but the class also contains A. ZELLNER and H. THEIL’s
three-stage least squares, an estimator recently proposed by
T.J. ROTHENBERG and C.T. LEENDERS called « linearized
maximum likelihood », and the simultaneous least squares
estimator of T.M. Brown (3).
In principle, all of the above estimators make use of all
exogenous and lagged endogenous variables in the model as
predetermined instruments. As indicated above, for reasons to
be discussed below, this cannot always be done or is not always
desirable, and in such cases other methods which so employ
only some of the exogenous or lagged endogenous variables
must be used. We shall discuss the problems raised in such
situations below, observing here only that, given the choice of
variables to be treated as predetermined, most of the estimators
just classified have exact counterparts in such circumstances.
(?) See THEIL [32, pp. 353-354] and Nacar [23].
‘\ See ZELLNER and THEIL [37]. ROTHENBERG and LEENDERS [26j, and
[M Brown (TF
bi
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