1984 | OriginalPaper | Chapter
Specification in Simultaneous Linear Equations Models: The Relation Between A Priori Specifications and Resulting Estimators
Authors : Bernard M. S. van Praag, Jan T. A. Koster
Published in: Misspecification Analysis
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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The estimation of coefficients of a linear model is discussed, where we do not assume that the random vector X satisfies the model, but that the model is only a model of best fit. We consider both the situation without additional constraints on the coefficients and the situation with differentiable constraints. In both cases, the vector of parameters is a differentiable function of a covariance matrix, making the δ-method applicable. It is shown that the asymptotic distribution of the estimators is normal. Closed formulas for their asymptotic covariance matrices are derived.