方法对比
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| 断点分析× | Bootstrap Inference× | |
|---|---|---|
| 领域 | 统计学 | 统计学 |
| 方法族 | Regression model | Regression model |
| 起源年份≠ | 1983 | 1979 |
| 提出者≠ | Hampel (1971); Donoho & Huber (1983) | Bradley Efron |
| 类型≠ | Robustness diagnostic for estimators | Resampling-based inference |
| 开创性文献≠ | Donoho, D. L. & Huber, P. J. (1983). The Notion of Breakdown Point. In A Festschrift for Erich L. Lehmann (pp. 157-184). Wadsworth. link ↗ | Efron, B. (1979). Bootstrap Methods: Another Look at the Jackknife. Annals of Statistics, 7(1), 1-26. DOI ↗ |
| 别名 | breakdown point, finite-sample breakdown point, robustness breakdown analysis, Bozunma Noktası Analizi | bootstrap, bootstrap resampling, nonparametric bootstrap, Bootstrap Çıkarımı |
| 相关 | 5 | 5 |
| 摘要≠ | Breakdown point analysis quantifies the fraction of outliers an estimator can tolerate before it produces meaningless results. Formalised by Hampel (1971) and Donoho and Huber (1983), it is the standard tool for comparing the robustness of competing estimators. | Bootstrap inference, introduced by Bradley Efron in 1979, estimates the sampling distribution of a statistic by repeatedly resampling the observed data with replacement. It requires no distributional assumption and produces reliable confidence intervals even in small samples. |
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