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Kuadrat Terkecil Tertimbang Nonlinier (NWLS)×Regresi Kuadrat Terkecil Biasa (Ordinary Least Squares - OLS)×Kuadrat Terkecil Tertimbang (WLS)×
BidangEkonometrikaEkonometrikaStatistika
KeluargaRegression modelRegression modelRegression model
Tahun asal1960s–1980s (formalized in applied econometrics)20191935
PencetusExtension of Gauss-Newton nonlinear least squares with Aitken-type weightingWooldridge (textbook treatment); classical least squaresAlexander Craig Aitken
TipeNonlinear regression estimatorLinear regressionWeighted linear estimator
Sumber perintisGreene, 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 ↗
AliasNWLS, 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
Terkait353
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.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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ScholarGateBandingkan metode: Nonlinear WLS · OLS Regression · Weighted Least Squares. Diakses 2026-06-19 dari https://scholargate.app/id/compare