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Control functions in nonseparable simultaneous equations models

Authors: Richard Blundell and Rosa Matzkin
Date: 05 July 2014
Type: Appendix,
DOI: 10.3982/QE281

Abstract

The control function approach (Heckman and Robb (1985)) in a system of linear simultaneous equations provides a convenient procedure to estimate one of the functions in the system using reduced form residuals from the other functions as additional regressors. The conditions on the structural system under which this procedure can be used in nonlinear and nonparametric simultaneous equations has thus far been unknown. In this paper, we define a new property of functions called control function separability and show it provides a complete characterization of the structural systems of simultaneous equations in which the control function procedure is valid.

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July 2010, Quantitative Economics, Journal Issue, Econometric Society

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