Efficient Estimation and Identification of Simultaneous Equation Models with Covariance Restrictions
The authors consider estimation of simultaneous equations models with covariance restrictions. They consider FIML estimation and extend J. A. Hausman's instrumental variables interpretation of the FIML estim ator to the covariance restrictions case. A slight variation on the i nstrumental variables theme yields a simple, efficient alternative to FIML. The authors augment the original equation system by equations implied by the covariance restrictions, linearized around an initial consistent estimator, and perform three-stage least squares to obtain an asymptotically efficient estimator. They also present a simple me thod of obtaining an initial consistent estimator when the covariance restrictions are needed for identification. Finally, they consider i dentification from the standpoint of the moment restrictions implied by instrument-residual orthogonality and covariance restrictions. Copyright 1987 by The Econometric Society.
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