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최소제곱법(OLS) 회귀×가중 최소 제곱법 (Weighted Least Squares, WLS)×
분야계량경제학통계학
계열Regression modelRegression model
기원 연도20191935
창시자Wooldridge (textbook treatment); classical least squaresAlexander Craig Aitken
유형Linear regressionWeighted linear estimator
원전Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860Aitken, A. C. (1935). IV.—On least squares and linear combination of observations. Proceedings of the Royal Society of Edinburgh, 55, 42–48. DOI ↗
별칭ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuWLS, weighted regression, heteroscedasticity-corrected OLS, variance-weighted least squares
관련53
요약Ordinary 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).Weighted Least Squares is a generalization of Ordinary Least Squares (OLS) regression that assigns each observation a weight inversely proportional to its error variance, thereby down-weighting high-variance data points and up-weighting precise ones. Introduced in its general matrix form by Alexander Craig Aitken in 1935, WLS is the canonical remedy when heteroscedasticity is present and the error variance structure is known or can be reliably estimated.
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