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Regresja metodą najmniejszych przyciętych kwadratów (LTS)×Regresja metodą najmniejszych kwadratów (OLS)×Estymacja odpornej kowariancji (MCD)×
DziedzinaStatystykaEkonometriaStatystyka
RodzinaRegression modelRegression modelRegression model
Rok powstania198420191999
TwórcaPeter J. RousseeuwWooldridge (textbook treatment); classical least squaresRousseeuw; Rousseeuw & Van Driessen (Fast-MCD)
TypRobust linear regressionLinear regressionRobust multivariate location-scatter estimator
Źródło pierwotneRousseeuw, 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: 978-1337558860Rousseeuw, P. J. & Van Driessen, K. (1999). A Fast Algorithm for the Minimum Covariance Determinant Estimator. Technometrics, 41(3), 212-223. DOI ↗
Inne nazwyLTS, least trimmed squares regression, trimmed least squares, robust regressionordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuminimum covariance determinant, MCD estimator, robust covariance estimation, Robust Kovaryans Tahmini (MCD)
Pokrewne554
PodsumowanieLeast 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).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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ScholarGatePorównaj metody: Least Trimmed Squares · OLS Regression · Robust Covariance (MCD). Pobrano 2026-06-19 z https://scholargate.app/pl/compare