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| Bootstrap Bayes (Rubin)× | Suy luận Bootstrap× | Bootstrap lặp (Double Bootstrap)× | |
|---|---|---|---|
| Lĩnh vực | Thống kê | Thống kê | Thống kê |
| Họ | Regression model | Regression model | Regression model |
| Năm ra đời≠ | 1981 | 1979 | 1986 |
| Người khởi xướng≠ | Rubin (1981); large-sample theory by Lo (1987) | Bradley Efron | Hall (1986); Beran (1987) |
| Loại≠ | Resampling / posterior simulation | Resampling-based inference | Resampling calibration (nested bootstrap) |
| Công trình gốc≠ | Rubin, D. B. (1981). The Bayesian Bootstrap. The Annals of Statistics, 9(1), 130-134. DOI ↗ | Efron, B. (1979). Bootstrap Methods: Another Look at the Jackknife. Annals of Statistics, 7(1), 1-26. DOI ↗ | Hall, P. (1986). On the Bootstrap and Confidence Intervals. Annals of Statistics, 14(4), 1431-1452. DOI ↗ |
| Tên gọi khác≠ | Bayesian Bootstrap (Rubin), Rubin bootstrap, Dirichlet-weighted bootstrap | bootstrap, bootstrap resampling, nonparametric bootstrap, Bootstrap Çıkarımı | iterated bootstrap, nested bootstrap, calibrated bootstrap, Çift Bootstrap (Double / Iterated Bootstrap) |
| Liên quan | 5 | 5 | 5 |
| Tóm tắt≠ | The Bayesian Bootstrap, introduced by Donald B. Rubin in 1981, is a resampling method that produces a Bayesian counterpart to the frequentist bootstrap by assigning each observation a random weight drawn from a Dirichlet distribution. It yields a full posterior distribution for a statistic and allows prior information to be incorporated. | 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. | The double bootstrap is a resampling method that calibrates a bootstrap confidence interval with a second, nested layer of bootstrap to bring its actual coverage closer to the nominal level. Introduced by Hall (1986) and Beran (1987), it is especially valuable for small samples and skewed distributions where a single-layer bootstrap under-covers. |
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