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최소 중앙값 제곱합 (Least Median of Squares, LMS) 회귀분석×최소제곱법(OLS) 회귀×
분야통계학계량경제학
계열Regression modelRegression model
기원 연도19842019
창시자Peter J. RousseeuwWooldridge (textbook treatment); classical least squares
유형Robust linear regressionLinear regression
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: 978-1337558860
별칭LMS, least median of squares regression, en küçük medyan kareler (LMS)ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
관련55
요약Least Median of Squares is a robust linear regression method introduced by Peter J. Rousseeuw in 1984. Instead of minimising the sum of squared residuals like ordinary least squares, it minimises the median of the squared residuals, which lets the fit resist contamination by up to roughly 50% 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).
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