विधियों की तुलना करें

	अरैखिक भारित न्यूनतम वर्ग (NWLS)	साधारण न्यूनतम वर्ग (OLS) समाश्रयण	भारित न्यूनतम वर्ग (Weighted Least Squares - WLS)
क्षेत्र	अर्थमिति	अर्थमिति	सांख्यिकी
परिवार	Regression model	Regression model	Regression model
उद्भव वर्ष	1960s–1980s (formalized in applied econometrics)	2019	1935
प्रवर्तक	Extension of Gauss-Newton nonlinear least squares with Aitken-type weighting	Wooldridge (textbook treatment); classical least squares	Alexander Craig Aitken
प्रकार	Nonlinear regression estimator	Linear regression	Weighted linear estimator
मौलिक स्रोत	Greene, W. H. (2018). Econometric Analysis (8th ed.). Pearson Education. ISBN: 978-0134461366	Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860	Aitken, A. C. (1935). IV.—On least squares and linear combination of observations. Proceedings of the Royal Society of Edinburgh, 55, 42–48.
उपनाम	NWLS, nonlinear weighted least squares, weighted nonlinear regression, heteroscedasticity-corrected nonlinear regression	ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu	WLS, weighted regression, heteroscedasticity-corrected OLS, variance-weighted least squares
संबंधित	3	5	3
सारांश	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.	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.