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강건 공분산 추정 (MCD)×테일-센 추정량×
분야통계학통계학
계열Regression modelRegression model
기원 연도19991968
창시자Rousseeuw; Rousseeuw & Van Driessen (Fast-MCD)Henri Theil (1950); P. K. Sen (1968)
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 ↗Sen, P. K. (1968). Estimates of the Regression Coefficient Based on Kendall's Tau. Journal of the American Statistical Association, 63(324), 1379-1389. DOI ↗
별칭minimum covariance determinant, MCD estimator, robust covariance estimation, Robust Kovaryans Tahmini (MCD)Theil-Sen Tahmincisi, Theil-Sen regression, median slope estimator, Sen's slope estimator
관련46
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.The Theil-Sen estimator is a robust linear regression method that estimates the slope as the median of the slopes computed over all pairs of data points. Introduced by Henri Theil in 1950 and extended by P. K. Sen in 1968, it tolerates outliers in the response with a breakdown point of about 29%.
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