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Outlier detection algorithms are intimately connected with robust statistics that down-weight some observations to zero. We de...ne a number of outlier detection algorithms related to the Huber-skip and the Least Trimmed Squares estimators, including the 1-step Huber skip estimator and the Forward Search. Next, we review a recently developed asymptotic theory of these. Finally, we analyze the gauge, the fraction of wrongly detected outliers, for a number of outlier detection algorithms anddoi:10.1111/sjos.12174 fatcat:cjrtmqfc5ng73kkflyaf3waepu