Comprehensive definitions of breakdown points for independent and dependent observations

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Estimators of Fractal Dimension: Assessing the Roughness of Time Series and Spatial Data (2011, background): “While comprehensive formal definitions of breakdown points for dependent data have recently become available (Genton and Lucas, 2003), it suffices here to take a heuristic point of view, and define the breakdown point of an estimator as the minimal fraction of contaminated data that can ruin an…”
Robust Likelihood Methods Based on the Skew‐t and Related Distributions (2008, background): “Note that compared to the ST fit, the LS estimate of β1 is pushed towards 0 because of the presence of outliers, a well-known weakness of the LS estimator in the AR(1) time series model; see Genton & Lucas (2003) for further discussions.”
Robust Estimation in Signal Processing: A Tutorial-Style Treatment of Fundamental Concepts (2012, background): “■ The BP: The definition of the BP in the correlated case has not been established in the literature yet [69].”