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Distanța Mahalanobis robustă×Diagrama de cutie ajustată pentru distribuții asimetrice×Regresia prin metoda celor mai mici pătrate trunchiate (LTS)×
DomeniuStatisticăStatisticăStatistică
FamilieRegression modelRegression modelRegression model
Anul apariției199020081984
Autorul originalRousseeuw & Van Zomeren (robust distance); Filzmoser, Garrett & Reimann (multivariate outlier detection)Hubert & VandervierenPeter J. Rousseeuw
TipRobust multivariate outlier detectionRobust outlier detection / descriptive visualizationRobust linear regression
Sursa seminalăRousseeuw, P. J. & Van Zomeren, B. C. (1990). Unmasking Multivariate Outliers and Leverage Points. Journal of the American Statistical Association, 85(411), 633-639. DOI ↗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 ↗
Denumiri alternativeMCD Mahalanobis distance, robust mahalanobis, minimum covariance determinant distance, Robust Mahalanobis Uzaklığıadjusted box plot, medcouple boxplot, skewness-adjusted boxplot, Düzeltilmiş Kutu Grafiği (Adjusted Boxplot)LTS, least trimmed squares regression, trimmed least squares, robust regression
Înrudite555
RezumatRobust Mahalanobis Distance flags multivariate outliers by measuring how far each observation lies from the centre of the data using a robust covariance estimate. It builds on the robust-distance framework of Rousseeuw and Van Zomeren (1990) and the multivariate outlier-detection approach of Filzmoser, Garrett and Reimann (2005), replacing the classical mean and covariance with the Minimum Covariance Determinant (MCD) estimate so that the outliers themselves do not distort the distance.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.
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ScholarGateCompară metode: Robust Mahalanobis Distance · Adjusted Boxplot · Least Trimmed Squares. Preluat la 2026-06-18 de pe https://scholargate.app/ro/compare