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经调整的箱线图(Adjusted Boxplot)×最小裁剪平方和(LTS)回归×中位数绝对离差 (MAD) 估计×
领域统计学统计学统计学
方法族Regression modelRegression modelRegression model
起源年份200819841974
提出者Hubert & VandervierenPeter J. RousseeuwHampel (influence-curve treatment); classical robust statistics
类型Robust outlier detection / descriptive visualizationRobust linear regressionRobust scale estimator
开创性文献Hubert, M. & Vandervieren, E. (2008). An Adjusted Boxplot for Skewed Distributions. Computational Statistics & Data Analysis, 52(12), 5186-5201. DOI ↗Rousseeuw, P. J. (1984). Least Median of Squares Regression. Journal of the American Statistical Association, 79(388), 871-880. DOI ↗Hampel, F. R. (1974). The Influence Curve and Its Role in Robust Estimation. Journal of the American Statistical Association, 69(346), 383-393. DOI ↗
别名adjusted box plot, medcouple boxplot, skewness-adjusted boxplot, Düzeltilmiş Kutu Grafiği (Adjusted Boxplot)LTS, least trimmed squares regression, trimmed least squares, robust regressionmedian absolute deviation, MAD scale estimator, robust scale estimation, Medyan Mutlak Sapma (MAD) Tahmini
相关555
摘要The Adjusted Boxplot is a robust descriptive tool introduced by Hubert and Vandervieren (2008) that corrects the classical IQR-based boxplot for skewness using the medcouple statistic, reducing the false labelling of outliers in asymmetric data.Least Trimmed Squares is a robust linear regression method introduced by Peter J. Rousseeuw in 1984. Instead of fitting all residuals, it estimates the coefficients by minimising the sum of only the h smallest squared residuals, which gives it a breakdown point of up to 50% and reliable estimates on data heavily contaminated by outliers.Median 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.
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ScholarGate方法对比: Adjusted Boxplot · Least Trimmed Squares · MAD Estimation. 于 2026-06-18 检索自 https://scholargate.app/zh/compare