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Least Kuasa Dua Berbobot Tak Linear (NWLS)×Generalized Least Squares (GLS)×Regresi Kuasa Dua Terkecil Biasa (OLS)×
BidangEkonometrikStatistikEkonometrik
KeluargaRegression modelRegression modelRegression model
Tahun asal1960s–1980s (formalized in applied econometrics)19352019
PengasasExtension of Gauss-Newton nonlinear least squares with Aitken-type weightingAlexander Craig AitkenWooldridge (textbook treatment); classical least squares
JenisNonlinear regression estimatorLinear estimatorLinear regression
Sumber perintisGreene, W. H. (2018). Econometric Analysis (8th ed.). Pearson Education. ISBN: 978-0134461366Aitken, A. C. (1935). IV.—On least squares and linear combination of observations. Proceedings of the Royal Society of Edinburgh, 55, 42–48. DOI ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
AliasNWLS, nonlinear weighted least squares, weighted nonlinear regression, heteroscedasticity-corrected nonlinear regressionGLS, Aitken estimator, EGLS, feasible GLSordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
Berkaitan335
RingkasanNonlinear 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.Generalized Least Squares (GLS) is a linear regression estimator that extends ordinary least squares to handle situations where the error terms are correlated or have non-constant variance (heteroscedasticity). Introduced by Alexander Craig Aitken in 1935, GLS achieves the Best Linear Unbiased Estimator (BLUE) under a general error covariance structure by weighting observations according to their precision, providing a theoretical bridge between OLS and modern linear mixed models.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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ScholarGateBandingkan kaedah: Nonlinear WLS · Generalized Least Squares · OLS Regression. Dicapai 2026-06-19 daripada https://scholargate.app/ms/compare