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| OLS phi tuyến (Bình phương nhỏ nhất phi tuyến)× | Ước lượng Hợp lý Tối đa× | |
|---|---|---|
| Lĩnh vực≠ | Kinh tế lượng | Thống kê |
| Họ | Regression model | Regression model |
| Năm ra đời≠ | 1974–1987 | 1922 |
| Người khởi xướng≠ | Gallant (1987); Wooldridge (2010) for econometric treatment | R. A. Fisher |
| Loại≠ | Nonlinear regression estimator | Parametric point estimator |
| Công trình gốc≠ | Gallant, A. R. (1987). Nonlinear Statistical Models. John Wiley & Sons. ISBN: 978-0471802600 | Fisher, R. A. (1922). On the mathematical foundations of theoretical statistics. Philosophical Transactions of the Royal Society of London, Series A, 222, 309–368. DOI ↗ |
| Tên gọi khác | nonlinear least squares, NLS, NLLS, nonlinear regression | MLE, maximum-likelihood estimator, ML estimation, Fisher's method of maximum likelihood |
| Liên quan≠ | 5 | 4 |
| Tóm tắt≠ | 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. | Maximum Likelihood Estimation (MLE) is a general-purpose parametric method for estimating the unknown parameters of a statistical model by finding the parameter values that make the observed data most probable. Formalized by R. A. Fisher in his landmark 1922 paper in the Philosophical Transactions of the Royal Society, MLE has become the dominant parameter-estimation paradigm in modern statistics and is the foundational engine behind logistic regression, generalized linear models, structural equation modeling, and virtually all parametric inference procedures. |
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