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MCO no lineal (Mínimos Cuadrados No Lineales)×Mínimos Cuadrados Generalizados (GLS)×
CampoEconometríaEstadística
FamiliaRegression modelRegression model
Año de origen1974–19871935
Autor originalGallant (1987); Wooldridge (2010) for econometric treatmentAlexander Craig Aitken
TipoNonlinear regression estimatorLinear estimator
Fuente seminalGallant, A. R. (1987). Nonlinear Statistical Models. John Wiley & Sons. ISBN: 978-0471802600Aitken, A. C. (1935). IV.—On least squares and linear combination of observations. Proceedings of the Royal Society of Edinburgh, 55, 42–48. DOI ↗
Aliasnonlinear least squares, NLS, NLLS, nonlinear regressionGLS, Aitken estimator, EGLS, feasible GLS
Relacionados53
ResumenNonlinear Ordinary Least Squares (NLS) estimates regression models in which the conditional mean function is nonlinear in the parameters. Like standard OLS it minimises the sum of squared residuals, but because no closed-form solution exists the estimator is found by iterative numerical optimisation. Under standard regularity conditions NLS is consistent and asymptotically normal.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.
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ScholarGateComparar métodos: Nonlinear OLS · Generalized Least Squares. Recuperado el 2026-06-18 de https://scholargate.app/es/compare