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Sn og Qn robuste skaleringsestimatorer×Nedbrytningspunktanalyse×
FagfeltStatistikkStatistikk
FamilieRegression modelRegression model
Opprinnelsesår19931983
OpphavspersonRousseeuw & CrouxHampel (1971); Donoho & Huber (1983)
TypeRobust scale estimatorRobustness diagnostic for estimators
Opprinnelig kildeRousseeuw, P. J., & Croux, C. (1993). Alternatives to the Median Absolute Deviation. Journal of the American Statistical Association, 88(424), 1273-1283. 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 ↗
AliasSn estimator, Qn estimator, Rousseeuw-Croux scale estimators, robust scale estimationbreakdown point, finite-sample breakdown point, robustness breakdown analysis, Bozunma Noktası Analizi
Relaterte55
SammendragSn and Qn are robust estimators of scale (spread) proposed by Rousseeuw and Croux (1993) as alternatives to the median absolute deviation (MAD). Both attain a 50% breakdown point while delivering higher statistical efficiency than MAD, so they measure dispersion accurately even when the data contain outliers.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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ScholarGateSammenlign metoder: Sn and Qn Scale Estimators · Breakdown Point Analysis. Hentet 2026-06-17 fra https://scholargate.app/no/compare