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ベイズブートストラップ(ルービン)×ブロックブートストラップ(移動ブロック法および定常法)×ブートストラップ推論×ジャックナイフ法×順列検定(ランダム化検定)×
分野統計学統計学統計学統計学統計学
系統Regression modelRegression modelRegression modelRegression modelRegression model
提唱年19811989197919562005
提唱者Rubin (1981); large-sample theory by Lo (1987)Künsch (moving block, 1989); Politis & Romano (stationary, 1994)Bradley EfronQuenouille (1956); reviewed by Miller (1974)Good (2005); Edgington & Onghena (2007); resampling tradition
種類Resampling / posterior simulationResampling inference for dependent dataResampling-based inferenceResampling / bias and variance estimationNonparametric resampling test
原典Rubin, D. B. (1981). The Bayesian Bootstrap. The Annals of Statistics, 9(1), 130-134. DOI ↗Künsch, H. R. (1989). The Jackknife and the Bootstrap for General Stationary Observations. Annals of Statistics, 17(3), 1217-1241. DOI ↗Efron, B. (1979). Bootstrap Methods: Another Look at the Jackknife. Annals of Statistics, 7(1), 1-26. DOI ↗Quenouille, M. H. (1956). Notes on Bias in Estimation. Biometrika, 43(3/4), 353-360. DOI ↗Good, P. (2005). Permutation, Parametric and Bootstrap Tests of Hypotheses (3rd ed.). Springer. ISBN: 978-0387202792
別名Bayesian Bootstrap (Rubin), Rubin bootstrap, Dirichlet-weighted bootstrapmoving block bootstrap, stationary bootstrap, blok bootstrap (moving block / stationary)bootstrap, bootstrap resampling, nonparametric bootstrap, Bootstrap Çıkarımıleave-one-out resampling, Quenouille-Tukey jackknife, delete-one jackknife, Jackknife Yeniden Örneklemerandomization test, exact permutation test, re-randomization test, Permütasyon Testi
関連55555
概要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.Block bootstrap is a resampling method for dependent, autocorrelated time-series data: instead of resampling single observations, it resamples whole blocks of consecutive observations so the serial-correlation structure is preserved. The moving block variant was introduced by Künsch (1989) and the stationary variant by Politis and Romano (1994).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 jackknife is a classical resampling method that estimates the bias and variance of a statistic by systematically recomputing it with one observation left out at a time. Introduced by Quenouille in 1956 and later reviewed by Miller in 1974, it predates the bootstrap and remains a simple, deterministic tool for assessing estimator stability.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手法を比較: Bayesian Bootstrap · Block Bootstrap · Bootstrap Inference · Jackknife · Permutation Test. 2026-06-15に以下より取得 https://scholargate.app/ja/compare