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双重(迭代)自助法×贝叶斯自助法(Bayesian Bootstrap,由 Rubin 提出)×置换 (随机化) 检验×
领域统计学统计学统计学
方法族Regression modelRegression modelRegression model
起源年份198619812005
提出者Hall (1986); Beran (1987)Rubin (1981); large-sample theory by Lo (1987)Good (2005); Edgington & Onghena (2007); resampling tradition
类型Resampling calibration (nested bootstrap)Resampling / posterior simulationNonparametric resampling test
开创性文献Hall, P. (1986). On the Bootstrap and Confidence Intervals. Annals of Statistics, 14(4), 1431-1452. DOI ↗Rubin, D. B. (1981). The Bayesian Bootstrap. The Annals of Statistics, 9(1), 130-134. DOI ↗Good, P. (2005). Permutation, Parametric and Bootstrap Tests of Hypotheses (3rd ed.). Springer. ISBN: 978-0387202792
别名iterated bootstrap, nested bootstrap, calibrated bootstrap, Çift Bootstrap (Double / Iterated Bootstrap)Bayesian Bootstrap (Rubin), Rubin bootstrap, Dirichlet-weighted bootstraprandomization test, exact permutation test, re-randomization test, Permütasyon Testi
相关555
摘要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.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.The permutation test is a nonparametric resampling procedure that builds the sampling distribution of a test statistic directly from the data by repeatedly shuffling the group labels. Developed in the resampling tradition and treated systematically by Good (2005) and Edgington & Onghena (2007), it requires no parametric distributional assumption and yields an exact p-value.
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ScholarGate方法对比: Double Bootstrap · Bayesian Bootstrap · Permutation Test. 于 2026-06-15 检索自 https://scholargate.app/zh/compare