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최소 절사 제곱 (LTS) 회귀×최소제곱법(OLS) 회귀×강건 공분산 추정 (MCD)×
분야통계학계량경제학통계학
계열Regression modelRegression modelRegression model
기원 연도198420191999
창시자Peter J. RousseeuwWooldridge (textbook treatment); classical least squaresRousseeuw; Rousseeuw & Van Driessen (Fast-MCD)
유형Robust linear regressionLinear regressionRobust multivariate location-scatter estimator
원전Rousseeuw, 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 ↗
별칭LTS, 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)
관련554
요약Least 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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ScholarGate방법 비교: Least Trimmed Squares · OLS Regression · Robust Covariance (MCD). 2026-06-19에 다음에서 검색함: https://scholargate.app/ko/compare