قارن الطرق

	المربعات الصغرى الموزونة غير الخطية (NWLS)	التقدير المربعات الصغرى المعممة (GLS)
المجال	الاقتصاد القياسي	الإحصاء
العائلة	Regression model	Regression model
سنة النشأة	1960s–1980s (formalized in applied econometrics)	1935
صاحب الطريقة	Extension of Gauss-Newton nonlinear least squares with Aitken-type weighting	Alexander Craig Aitken
النوع	Nonlinear regression estimator	Linear estimator
المصدر التأسيسي	Greene, W. H. (2018). Econometric Analysis (8th ed.). Pearson Education. ISBN: 978-0134461366	Aitken, A. C. (1935). IV.—On least squares and linear combination of observations. Proceedings of the Royal Society of Edinburgh, 55, 42–48.
الأسماء البديلة	NWLS, nonlinear weighted least squares, weighted nonlinear regression, heteroscedasticity-corrected nonlinear regression	GLS, Aitken estimator, EGLS, feasible GLS
ذات صلة	3	3
الملخص	Nonlinear 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.