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Krahasoni metodat

Shqyrtoni metodat e zgjedhura krah për krah; rreshtat që ndryshojnë janë të theksuar.

Minitë e Shumëzimit të Pjesëshëm të Peshuar (NWLS)×Regresioni me Mënyrën më të Vogël të Katrorëve (OLS)×Diferencat më të Vogla të Peshuara (WLS)×
FushaEkonometriEkonometriStatistikë
FamiljaRegression modelRegression modelRegression model
Viti i origjinës1960s–1980s (formalized in applied econometrics)20191935
KrijuesiExtension of Gauss-Newton nonlinear least squares with Aitken-type weightingWooldridge (textbook treatment); classical least squaresAlexander Craig Aitken
LlojiNonlinear regression estimatorLinear regressionWeighted linear estimator
Burimi themeluesGreene, 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 ↗
Emërtime të tjeraNWLS, 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
Të lidhura353
PërmbledhjaNonlinear 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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ScholarGateKrahasoni metodat: Nonlinear WLS · OLS Regression · Weighted Least Squares. Marrë më 2026-06-19 nga https://scholargate.app/sq/compare