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Hồi quy Bình phương Nhỏ nhất Cắt tỉa (Least Trimmed Squares - LTS)×Hồi quy Bình phương Tối thiểu Thông thường (OLS)×Hồi quy Quantile×Ước lượng hiệp phương sai mạnh mẽ (MCD)×
Lĩnh vựcThống kêKinh tế lượngKinh tế lượngThống kê
HọRegression modelRegression modelRegression modelRegression model
Năm ra đời1984201919781999
Người khởi xướngPeter J. RousseeuwWooldridge (textbook treatment); classical least squaresKoenker & BassettRousseeuw; Rousseeuw & Van Driessen (Fast-MCD)
LoạiRobust linear regressionLinear regressionConditional quantile regressionRobust multivariate location-scatter estimator
Công trình gốcRousseeuw, P. J. (1984). Least Median of Squares Regression. Journal of the American Statistical Association, 79(388), 871-880. DOI ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗Rousseeuw, P. J. & Van Driessen, K. (1999). A Fast Algorithm for the Minimum Covariance Determinant Estimator. Technometrics, 41(3), 212-223. DOI ↗
Tên gọi khácLTS, least trimmed squares regression, trimmed least squares, robust regressionordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuconditional quantile regression, regression quantiles, Kantil Regresyonminimum covariance determinant, MCD estimator, robust covariance estimation, Robust Kovaryans Tahmini (MCD)
Liên quan5554
Tóm tắtLeast 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.Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE).Quantile regression models conditional quantiles of an outcome - the median, the 25th or 75th percentile, and so on - rather than the conditional mean that OLS targets. Introduced by Koenker and Bassett in 1978, it reveals how predictors act across the whole distribution, including its tails.Robust 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.
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ScholarGateSo sánh phương pháp: Least Trimmed Squares · OLS Regression · Quantile Regression · Robust Covariance (MCD). Truy cập ngày 2026-06-19 từ https://scholargate.app/vi/compare