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| 最尤推定法× | モーメント法× | |
|---|---|---|
| 分野≠ | 統計学 | 電気工学 |
| 系統≠ | Regression model | Process / pipeline |
| 提唱年≠ | 1922 | 1968 |
| 提唱者≠ | R. A. Fisher | Roger F. Harrington |
| 種類≠ | Parametric point estimator | Boundary integral equation method for solving Maxwell equations |
| 原典≠ | 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 ↗ | Harrington, R. F. (1968). Field Computation by Moment Methods. Macmillan. link ↗ |
| 別名≠ | MLE, maximum-likelihood estimator, ML estimation, Fisher's method of maximum likelihood | MoM, Boundary element method (electromagnetics) |
| 関連≠ | 4 | 3 |
| 概要≠ | 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. | The Method of Moments (MoM) is a powerful numerical technique for solving electromagnetic boundary integral equations derived from Maxwell equations. Pioneered by Roger Harrington in 1968, MoM discretizes only radiating surfaces and boundaries (antennas, conductors, dielectrics), not the surrounding space, making it efficient for radiation and scattering problems. MoM remains the standard tool for antenna design, electromagnetic compatibility analysis, and RF/microwave engineering. |
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