Σύγκριση μεθόδων

	Εκτιμητές Κλίμακας Sn και Qn με Ανθεκτικότητα	Ανάλυση Σημείου Διάσπασης
Πεδίο	Στατιστική	Στατιστική
Οικογένεια	Regression model	Regression model
Έτος προέλευσης	1993	1983
Δημιουργός	Rousseeuw & Croux	Hampel (1971); Donoho & Huber (1983)
Τύπος	Robust scale estimator	Robustness diagnostic for estimators
Θεμελιώδης πηγή	Rousseeuw, P. J., & Croux, C. (1993). Alternatives to the Median Absolute Deviation. Journal of the American Statistical Association, 88(424), 1273-1283.	Donoho, D. L. & Huber, P. J. (1983). The Notion of Breakdown Point. In A Festschrift for Erich L. Lehmann (pp. 157-184). Wadsworth.
Εναλλακτικές ονομασίες	Sn estimator, Qn estimator, Rousseeuw-Croux scale estimators, robust scale estimation	breakdown point, finite-sample breakdown point, robustness breakdown analysis, Bozunma Noktası Analizi
Συναφείς	5	5
Σύνοψη	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.	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.