Coherency and Completeness of Structural Models Containing a Dummy Endogenous Variable

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Random Coefficients on Endogenous Variables in Simultaneous Equations Models (2014, methodology): “Because of these last two cases, the model is incoherent and incomplete without further assumptions (see Tamer 2003 and Lewbel 2007 for a discussion of coherency and completeness).”
A Simple Estimator for Binary Choice Models with Endogenous Regressors (2015, methodology): “Lewbel (2000, 2007a) found in simulations that special regressor estimation tended to perform well in moderate size samples when the variance of V is as big or bigger than the variance of X ′β + ε, and otherwise that finite sample biases decline rather slowly as the sample size is increased.”
How sustainable are sustainable development programs? The case of the sloping land conversion program in China. (2009, background): “There are various formulations of this model based on various censoring mechanisms, on whether and in what manner the latent continuous variable y j or its nonlatent censored or discrete counterpart, yj, is observed and on whether the error terms are correlated (Lewbel, 2007).”