Robust Estimation of Regression Models with Potentially Endogenous Outliers via a Modern Optimization Lens
从现代优化视角稳健估计含潜在内生异常值的回归模型
This paper addresses the robust estimation of linear regression models in the presence of potentially endogenous outliers. Through Monte Carlo simulations, we demonstrate that existing $L_1$-regularized estimation methods, including the Huber estimator and the least absolute deviation (LAD) estimator, exhibit significant bias when outliers are endogenous. Motivated by this finding, we investigate $L_0$-regularized estimation methods. We propose systematic heuristic…