Template-Type: ReDIF-Paper 1.0
Series: Tinbergen Institute Discussion Papers
Creation-Date: 2021-01-14
Number: 21-004/III
Author-Name: Andrea A. Naghi
Author-Workplace-Name: Erasmus University Rotterdam
Author-Name: Máté Váradi
Author-Workplace-Name: Erasmus University Rotterdam
Author-Name: Mikhail Zhelonkin
Author-Workplace-Name: Erasmus University Rotterdam
Title: Robust Estimation of Probit Models with Endogeneity
Abstract: Probit models with endogenous regressors are commonly used models in economics and other social sciences. Yet, the robustness properties of parametric estimators in these models have not been formally studied. In this paper, we derive the influence functions of the endogenous probit model’s classical estimators (the maximum likelihood and the two-step estimator) and prove their non-robustness to small but harmful deviations from distributional assumptions. We propose a procedure to obtain a robust alternative estimator, prove its asymptotic normality and provide its asymptotic variance. A simple robust test for endogeneity is also constructed. We compare the performance of the robust and classical estimators in Monte Carlo simulations with different types of contamination scenarios. The use of our estimator is illustrated in several empirical applications.
Classification-JEL: C26, C13, C18 
Keywords: Binary outcomes, Probit model, Endogenous variable, Instrumental variable, Robust Estimation
File-URL: https://papers.tinbergen.nl/21004.pdf
File-Format: application/pdf
File-Size: 413615 bytes
Handle: RePEc:tin:wpaper:20210004