手法を比較

	ブレークダウン・ポイント分析	頑健判別分析
分野	統計学	統計学
系統	Regression model	Regression model
提唱年	1983	1997
提唱者	Hampel (1971); Donoho & Huber (1983)	Hawkins & McLachlan (high-breakdown LDA); Croux & Dehon (S-estimator robust LDA)
種類	Robustness diagnostic for estimators	Robust classification / discriminant analysis
原典	Donoho, D. L. & Huber, P. J. (1983). The Notion of Breakdown Point. In A Festschrift for Erich L. Lehmann (pp. 157-184). Wadsworth.	Hawkins, D. M. & McLachlan, G. J. (1997). High Breakdown Linear Discriminant Analysis. Journal of the American Statistical Association, 92(437), 136-143.
別名	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
関連	5	5
概要	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).