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Which Moments to Match?

Published online by Cambridge University Press:  11 February 2009

A. Ronald Gallant  and
George Tauchen
A. Ronald Gallant
Affiliation:
University of North Carolina
George Tauchen
Affiliation:
Duke University
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Abstract

We describe an intuitive, simple, and systematic approach to generating moment conditions for generalized method of moments (GMM) estimation of the parameters of a structural model. The idea is to use the score of a density that has an analytic expression to define the GMM criterion. The auxiliary model that generates the score should closely approximate the distribution' of the observed data but is not required to nest it. If the auxiliary model nests the structural model then the estimator is as efficient as maximum likelihood. The estimator is advantageous when expectations under a structural model can be computed by simulation, by quadrature, or by analytic expressions but the likelihood cannot be computed easily.

Type
Research Article
Information
Econometric Theory , Volume 12 , Issue 4 , October 1996 , pp. 657 - 681
Copyright
Copyright © Cambridge University Press 1996

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