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강건 공분산 추정 (MCD)×최소 절사 제곱 (LTS) 회귀×
분야통계학통계학
계열Regression modelRegression model
기원 연도19991984
창시자Rousseeuw; Rousseeuw & Van Driessen (Fast-MCD)Peter J. Rousseeuw
유형Robust multivariate location-scatter estimatorRobust linear regression
원전Rousseeuw, P. J. & Van Driessen, K. (1999). A Fast Algorithm for the Minimum Covariance Determinant Estimator. Technometrics, 41(3), 212-223. DOI ↗Rousseeuw, P. J. (1984). Least Median of Squares Regression. Journal of the American Statistical Association, 79(388), 871-880. DOI ↗
별칭minimum covariance determinant, MCD estimator, robust covariance estimation, Robust Kovaryans Tahmini (MCD)LTS, least trimmed squares regression, trimmed least squares, robust regression
관련45
요약Robust Covariance via the Minimum Covariance Determinant (MCD) estimates a multivariate mean vector and covariance matrix that are not distorted by outliers. It was made practical by the Fast-MCD algorithm of Rousseeuw and Van Driessen (1999), building on Rousseeuw's earlier work on robust estimation.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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