General trimmed estimation: Robust approach to nonlinear and limited dependent variable models

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Abstract

High-breakdown-point regression estimators protect against large errors and data contamination. We generalize the concept of trimming used by many of these robust estimators, such as the least trimmed squares and maximum trimmed likelihood, and propose a general trimmed estimator, which renders robust estimators applicable far beyond the standard (non)linear regression models. We derive here the consistency and asymptotic distribution of the proposed general trimmed estimator under mild β-mixing conditions and demonstrate its applicability in nonlinear regression and limited dependent variable models.
Original languageEnglish
Pages (from-to)1500-1529
JournalEconometric Theory
Volume24
Issue number6
Publication statusPublished - 2008

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