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| Bruchpunktanalyse× | Robuste Diskriminanzanalyse× | |
|---|---|---|
| Fachgebiet | Statistik | Statistik |
| Familie | Regression model | Regression model |
| Entstehungsjahr≠ | 1983 | 1997 |
| Urheber≠ | Hampel (1971); Donoho & Huber (1983) | Hawkins & McLachlan (high-breakdown LDA); Croux & Dehon (S-estimator robust LDA) |
| Typ≠ | Robustness diagnostic for estimators | Robust classification / discriminant analysis |
| Wegweisende Quelle≠ | Donoho, D. L. & Huber, P. J. (1983). The Notion of Breakdown Point. In A Festschrift for Erich L. Lehmann (pp. 157-184). Wadsworth. link ↗ | Hawkins, D. M. & McLachlan, G. J. (1997). High Breakdown Linear Discriminant Analysis. Journal of the American Statistical Association, 92(437), 136-143. DOI ↗ |
| Aliasnamen | breakdown point, finite-sample breakdown point, robustness breakdown analysis, Bozunma Noktası Analizi | robust LDA, high-breakdown discriminant analysis, MCD-based discriminant analysis, Robust Diskriminant Analizi |
| Verwandt | 5 | 5 |
| Zusammenfassung≠ | Breakdown point analysis quantifies the fraction of outliers an estimator can tolerate before it produces meaningless results. Formalised by Hampel (1971) and Donoho and Huber (1983), it is the standard tool for comparing the robustness of competing estimators. | Robust Discriminant Analysis is a classification method that separates groups with a linear discriminant function while resisting the influence of outliers. It replaces the classical mean and covariance with a high-breakdown estimator such as the Minimum Covariance Determinant (MCD), an approach developed by Hawkins & McLachlan (1997) and Croux & Dehon (2001). |
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