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Оценка на медианното абсолютно отклонение (MAD)×Надеждни оценки за мащаб Sn и Qn×
ОбластСтатистикаСтатистика
СемействоRegression modelRegression model
Година на възникване19741993
СъздателHampel (influence-curve treatment); classical robust statisticsRousseeuw & Croux
ТипRobust scale estimatorRobust scale estimator
Основополагащ източникHampel, 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 ↗
Други названияmedian absolute deviation, MAD scale estimator, robust scale estimation, Medyan Mutlak Sapma (MAD) TahminiSn estimator, Qn estimator, Rousseeuw-Croux scale estimators, robust scale estimation
Свързани55
РезюмеMedian 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.
ScholarGateНабор от данни
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  2. 2 Източници
  3. PUBLISHED
  1. v1
  2. 1 Източници
  3. PUBLISHED

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ScholarGateСравнение на методи: MAD Estimation · Sn and Qn Scale Estimators. Извлечено на 2026-06-18 от https://scholargate.app/bg/compare