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विषम वितरण के लिए समायोजित बॉक्सप्लॉट×Least Trimmed Squares (LTS) रिग्रेशन×माध्यिका निरपेक्ष विचलन (MAD) आकलन×
क्षेत्रसांख्यिकीसांख्यिकीसांख्यिकी
परिवारRegression modelRegression modelRegression model
उद्भव वर्ष200819841974
प्रवर्तकHubert & VandervierenPeter J. RousseeuwHampel (influence-curve treatment); classical robust statistics
प्रकारRobust outlier detection / descriptive visualizationRobust linear regressionRobust scale estimator
मौलिक स्रोतHubert, 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 ↗
उपनामadjusted 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
संबंधित555
सारांशThe 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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