Identification in Linear Simultaneous Equations Models with Covariance Restrictions: An Instrumental Variables Interpretation
نویسندگان
چکیده
Necessary and sufficient conditions for Identlflability with linear coefficient and covarlance restrictions are developed. In practical terms, covarlance restrictions aid identification if and only if they imply either that (1) a set of endogenous variables is predetermined in a particular equation (generalizing the notion of recursiveness) or (11) an identifiable residual is predetermined in a particular equation. In both cases, restrictions useful for identification yield instruments necessary for estimation; the implications for efficient estimation with covarlance restrictions are worked out in a companion paper: Hausman-Taylor (I98I). IDENTIFICATION IN LINEAR SIMULTANEOUS EQUATIONS MODELS WITH COVARIANCE RESTRICTIONS: AN INSTRUMENTAL VARIABLES INTERPRETATION by Jerry A. Hausman Massachusetts Institute of Technology Cambridge, Massachusetts 02139 and William E. Taylor Bell Telephone Laboratories, Inc. Murray Kill, New Jersey 0797^
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