General Trimmed Estimation: Robust Approach to Nonlinear and Limited Dependent Variable Models

High breakdown-point regression estimators protect against large errors and data con- tamination. Motivated by some { the least trimmed squares and maximum trimmed like- lihood estimators { we propose a general trimmed estimator, which unifies and extends many existing robust procedures. We derive here the consistency and rate of convergence of the proposed general trimmed estimator under mild -mixing conditions and demon- strate its applicability in nonlinear regression, time series, limited dependent variable models, and panel data.