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Mediaanist absoluutse hälbe (MAD) hindamine×Sn and Qn Scale Estimators×
ValdkondStatistikaStatistika
PerekondRegression modelRegression model
Tekkeaasta19741993
LoojaHampel (influence-curve treatment); classical robust statisticsRousseeuw & Croux
TüüpRobust scale estimatorRobust scale estimator
AlgallikasHampel, F. R. (1974). The Influence Curve and Its Role in Robust Estimation. Journal of the American Statistical Association, 69(346), 383-393. DOI ↗Rousseeuw, P. J., & Croux, C. (1993). Alternatives to the Median Absolute Deviation. Journal of the American Statistical Association, 88(424), 1273-1283. DOI ↗
Rööpnimetusedmedian absolute deviation, MAD scale estimator, robust scale estimation, Medyan Mutlak Sapma (MAD) TahminiSn estimator, Qn estimator, Rousseeuw-Croux scale estimators, robust scale estimation
Seotud55
KokkuvõteMedian 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.Sn 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.
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ScholarGateVõrdle meetodeid: MAD Estimation · Sn and Qn Scale Estimators. Loetud 2026-06-18 aadressilt https://scholargate.app/et/compare