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Asymptotic Theory of Outlier Detection Algorithms for Linear Time Series Regression Models

Asymptotic Theory of Outlier Detection Algorithms for Linear Time Series Regression Models

Abstract Outlier detection algorithms are intimately connected with robust statistics that down‐weight some observations to zero. We define a number of outlier detection algorithms related to the Huber‐skip and least trimmed squares estimators, including the one‐step Huber‐skip estimator and the forward search. Next, we review a recently developed asymptotic theory …