A Simple Estimator for Binary Choice Models with Endogenous Regressors

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Subsidies, financial constraints and firm innovative activities in emerging economies (2017, background): “Secondly, outliers are removed to improve the mean squared error of the estimator by trading off bias for variance (Dong and Lewbel 2015) at different Table 8 Probit marginal effects—interaction with financial constraints”
The Value of Working Conditions in the United States and Implications for the Structure of Wages (2018, methodology): “…our findings to assuming a specific distribution for the error term, we use the so-called special regressor estimator which does not require distributional assumptions on the error term and estimates mean valuations even in the presence of random coefficients (Dong and Lewbel, 2015; Lewbel, 2014).”
Female Migration: A Way Out of Discrimination (2015, methodology): “To deal with potential endogeneity in the relationship between gender discrimination and migration behavior we apply the special regressor method using age as special regressor (Dong and Lewbel, 2015) and the share of men considering gays and lesbians being discriminated as additional exogenous inst”