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רגרסיית ריבועים זעירים חתוכים (Least Trimmed Squares - LTS)×רגרסיית ריבועים פחותים רגילים (OLS)×אמידת שונוּת-משותפת חסונה (MCD)×
תחוםסטטיסטיקהאקונומטריקהסטטיסטיקה
משפחהRegression modelRegression modelRegression model
שנת המקור198420191999
הוגה השיטהPeter J. RousseeuwWooldridge (textbook treatment); classical least squaresRousseeuw; Rousseeuw & Van Driessen (Fast-MCD)
סוגRobust linear regressionLinear regressionRobust multivariate location-scatter estimator
מקור מכונןRousseeuw, 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 ↗
כינוייםLTS, 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)
קשורות554
תקצירLeast 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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ScholarGateהשוואת שיטות: Least Trimmed Squares · OLS Regression · Robust Covariance (MCD). אוחזר בתאריך 2026-06-19 מתוך https://scholargate.app/he/compare