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非线性OLS(非线性最小二乘法)×非线性广义最小二乘 (NGLS)×
领域计量经济学计量经济学
方法族Regression modelRegression model
起源年份1974–19871975
提出者Gallant (1987); Wooldridge (2010) for econometric treatmentGallant (1975); extended by Davidson & MacKinnon
类型Nonlinear regression estimatorNonlinear estimator
开创性文献Gallant, A. R. (1987). Nonlinear Statistical Models. John Wiley & Sons. ISBN: 978-0471802600Gallant, A. R. (1987). Nonlinear Statistical Models. Wiley. ISBN: 978-0471802600
别名nonlinear least squares, NLS, NLLS, nonlinear regressionNGLS, nonlinear generalized least squares, feasible nonlinear GLS, FNGLS
相关52
摘要Nonlinear 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.Nonlinear Generalized Least Squares extends the classical GLS framework to regression models where the mean function is nonlinear in the parameters. It accounts for non-spherical errors — heteroscedasticity or autocorrelation — by pre-weighting the nonlinear objective with an estimated error covariance matrix, yielding consistent and asymptotically efficient estimates.
ScholarGate数据集
  1. v1
  2. 2 来源
  3. PUBLISHED
  1. v1
  2. 2 来源
  3. PUBLISHED

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ScholarGate方法对比: Nonlinear OLS · Nonlinear GLS. 于 2026-06-18 检索自 https://scholargate.app/zh/compare