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Dummy Endogenous Variables in a Simultaneous Equation System
James J. Heckman
Abstract
This paper considers a class of simultaneous equation models with both discrete and continuous random variables based on normally distributed latent random variables. The model set forth here contains the classical simultaneous equation model for continuous endogenous variables and more recent models for discrete endogenous variables as special cases of a more general model. Conditions for the existence of the model are developed. Identification criteria are provided and consistent estimators are proposed. The model set forth here is contrasted with the models of Goodman and Nerlove and Press.
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