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비선형 가중 최소제곱법 (NWLS)×최소제곱법(OLS) 회귀×가중 최소 제곱법 (Weighted Least Squares, WLS)×
분야계량경제학계량경제학통계학
계열Regression modelRegression modelRegression model
기원 연도1960s–1980s (formalized in applied econometrics)20191935
창시자Extension of Gauss-Newton nonlinear least squares with Aitken-type weightingWooldridge (textbook treatment); classical least squaresAlexander Craig Aitken
유형Nonlinear regression estimatorLinear regressionWeighted linear estimator
원전Greene, W. H. (2018). Econometric Analysis (8th ed.). Pearson Education. ISBN: 978-0134461366Wooldridge, 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 ↗
별칭NWLS, nonlinear weighted least squares, weighted nonlinear regression, heteroscedasticity-corrected nonlinear regressionordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuWLS, weighted regression, heteroscedasticity-corrected OLS, variance-weighted least squares
관련353
요약Nonlinear Weighted Least Squares combines the flexibility of nonlinear regression with the variance-stabilizing power of observation-level weights. It minimises a weighted sum of squared residuals around a user-specified nonlinear mean function, making it the method of choice when the relationship is inherently nonlinear and error variance differs across observations.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).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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ScholarGate방법 비교: Nonlinear WLS · OLS Regression · Weighted Least Squares. 2026-06-19에 다음에서 검색함: https://scholargate.app/ko/compare