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| 頑健判別分析× | 不均一分散(HC)頑健標準誤差× | |
|---|---|---|
| 分野 | 統計学 | 統計学 |
| 系統 | Regression model | Regression model |
| 提唱年≠ | 1997 | 1980 |
| 提唱者≠ | Hawkins & McLachlan (high-breakdown LDA); Croux & Dehon (S-estimator robust LDA) | Eicker; Huber; White (1980); MacKinnon & White (1985) |
| 種類≠ | Robust classification / discriminant analysis | Robust covariance estimator for linear regression |
| 原典≠ | Hawkins, D. M. & McLachlan, G. J. (1997). High Breakdown Linear Discriminant Analysis. Journal of the American Statistical Association, 92(437), 136-143. DOI ↗ | White, H. (1980). A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity. Econometrica, 48(4), 817-838. DOI ↗ |
| 別名≠ | robust LDA, high-breakdown discriminant analysis, MCD-based discriminant analysis, Robust Diskriminant Analizi | robust standard errors, White standard errors, Huber-Eicker-White standard errors, sandwich standard errors |
| 関連 | 5 | 5 |
| 概要≠ | Robust Discriminant Analysis is a classification method that separates groups with a linear discriminant function while resisting the influence of outliers. It replaces the classical mean and covariance with a high-breakdown estimator such as the Minimum Covariance Determinant (MCD), an approach developed by Hawkins & McLachlan (1997) and Croux & Dehon (2001). | Heteroscedasticity-robust standard errors are a correction to the covariance matrix of an OLS regression that yields valid inference when the error variance is not constant. Introduced by Halbert White in 1980 and refined into the finite-sample variants HC1-HC4 by MacKinnon and White in 1985, they leave the coefficient estimates unchanged but rebuild the standard errors so that t and F tests remain trustworthy under heteroscedasticity. |
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