High Breakdown Estimation for Multiple Populations with Applications to Discriminant Analysis

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Breakdown and groups (2005, background): “…of breakdown point have been to the location, scale and regression problems in Rk or to problems which are intimately related to these (see for example Ellis and Morgenthaler (1992), Davies and Gather (1993), Hubert (1997), Terbeck and Davies (1998), He and Fung (2000), Müller and Uhlig (2001)).”
High-Breakdown Robust Multivariate Methods (2008, methodology): “Robust linear discriminant analysis based on the MCD estimator or S-estimators has been studied in Hawkins and McLachlan (1997), He and Fung (2000), Croux and Dehon (2001) and Hubert and Van Driessen (2004).”
An Object-Oriented Framework for Robust Multivariate Analysis (2009, unknown): “…McLachlan (1997) deﬁned the minimum within-group covariance determinant estimator (MWCD) especially for the case of linear discriminant analysis; He and Fung (2000) and Croux and Dehon (2001) used S estimates; Hubert and Van Driessen (2004) applied the MCD estimates computed by the FAST-MCD…”
On Maximum Depth and Related Classifiers (2005, background): “He & Fung, 2000; Croux & Dehon, 2001; Hubert & Van Driessen, 2004), this computational simplicity is lost.”
Robust linear discriminant analysis using S‐estimators (2001, methodology): “This observation is conÞrmed by a replication of the simulation study presented by He & Fung (2000).”