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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×最小二乗法 (OLS) 回帰×順列検定(ランダム化検定)×
分野統計学統計学統計学計量経済学統計学
系統Regression modelRegression modelRegression modelRegression modelRegression model
提唱年19891979195620192005
提唱者Künsch (moving block, 1989); Politis & Romano (stationary, 1994)Bradley EfronQuenouille (1956); reviewed by Miller (1974)Wooldridge (textbook treatment); classical least squaresGood (2005); Edgington & Onghena (2007); resampling tradition
種類Resampling inference for dependent dataResampling-based inferenceResampling / bias and variance estimationLinear regressionNonparametric resampling test
原典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 ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860Good, P. (2005). Permutation, Parametric and Bootstrap Tests of Hypotheses (3rd ed.). Springer. ISBN: 978-0387202792
別名moving 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 Örneklemeordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonurandomization test, exact permutation test, re-randomization test, Permütasyon Testi
関連55555
概要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.Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE).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: Block Bootstrap · Bootstrap Inference · Jackknife · OLS Regression · Permutation Test. 2026-06-17に以下より取得 https://scholargate.app/ja/compare