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| Theil-Sen推定量× | ブートストラップ推論× | |
|---|---|---|
| 分野 | 統計学 | 統計学 |
| 系統 | Regression model | Regression model |
| 提唱年≠ | 1968 | 1979 |
| 提唱者≠ | Henri Theil (1950); P. K. Sen (1968) | Bradley Efron |
| 種類≠ | Robust linear regression | Resampling-based inference |
| 原典≠ | Sen, P. K. (1968). Estimates of the Regression Coefficient Based on Kendall's Tau. Journal of the American Statistical Association, 63(324), 1379-1389. DOI ↗ | Efron, B. (1979). Bootstrap Methods: Another Look at the Jackknife. Annals of Statistics, 7(1), 1-26. DOI ↗ |
| 別名≠ | Theil-Sen Tahmincisi, Theil-Sen regression, median slope estimator, Sen's slope estimator | bootstrap, bootstrap resampling, nonparametric bootstrap, Bootstrap Çıkarımı |
| 関連≠ | 6 | 5 |
| 概要≠ | The Theil-Sen estimator is a robust linear regression method that estimates the slope as the median of the slopes computed over all pairs of data points. Introduced by Henri Theil in 1950 and extended by P. K. Sen in 1968, it tolerates outliers in the response with a breakdown point of about 29%. | 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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