方法对比
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| 温莎化估计× | 影响诊断 (库克距离, DFFITS, 杠杆率)× | |
|---|---|---|
| 领域 | 统计学 | 统计学 |
| 方法族 | Regression model | Regression model |
| 起源年份≠ | 1960 | 1977 |
| 提出者≠ | Dixon (1960); robust estimation tradition (Wilcox) | R. Dennis Cook (Cook's distance); Belsley, Kuh & Welsch (DFFITS, leverage) |
| 类型≠ | Robust location/scale estimator | Regression diagnostic |
| 开创性文献≠ | Dixon, W. J. (1960). Simplified Estimation from Censored Normal Samples. Annals of Mathematical Statistics, 31(2), 385-391. DOI ↗ | Cook, R. D. (1977). Detection of Influential Observations in Linear Regression. Technometrics, 19(1), 15-18. DOI ↗ |
| 别名≠ | winsorization, winsorized mean, Winsorize Edilmiş Tahmin | Cook's distance, DFFITS, leverage, influential observation detection |
| 相关 | 5 | 5 |
| 摘要≠ | Winsorized estimation is a robust technique that reduces the influence of outliers by clamping the extreme percentiles of a distribution to a chosen threshold. Introduced by Dixon (1960) and developed in the robust-estimation tradition of Wilcox, it keeps every observation in the sample rather than discarding any. | Influence diagnostics are a family of post-fit measures that quantify how much each single observation affects a fitted regression. Cook's distance was introduced by R. Dennis Cook in 1977, with leverage and DFFITS formalised by Belsley, Kuh and Welsch in 1980, to flag the observations that most strongly pull the estimated coefficients. |
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