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Estimation par écart absolu médian (MAD)×Analyse du point de rupture×
DomaineStatistiqueStatistique
FamilleRegression modelRegression model
Année d'origine19741983
Auteur d'origineHampel (influence-curve treatment); classical robust statisticsHampel (1971); Donoho & Huber (1983)
TypeRobust scale estimatorRobustness diagnostic for estimators
Source fondatriceHampel, F. R. (1974). The Influence Curve and Its Role in Robust Estimation. Journal of the American Statistical Association, 69(346), 383-393. DOI ↗Donoho, D. L. & Huber, P. J. (1983). The Notion of Breakdown Point. In A Festschrift for Erich L. Lehmann (pp. 157-184). Wadsworth. link ↗
Aliasmedian absolute deviation, MAD scale estimator, robust scale estimation, Medyan Mutlak Sapma (MAD) Tahminibreakdown point, finite-sample breakdown point, robustness breakdown analysis, Bozunma Noktası Analizi
Apparentées55
RésuméMedian Absolute Deviation estimation is a robust measure of statistical dispersion that replaces the standard deviation when outliers are present. Rooted in the influence-curve framework formalised by Hampel (1974), it summarises the spread of a continuous variable using medians instead of means, so a single extreme value cannot distort the result.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.
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ScholarGateComparer des méthodes: MAD Estimation · Breakdown Point Analysis. Consulté le 2026-06-15 sur https://scholargate.app/fr/compare