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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)×
分野統計学統計学計量経済学統計学
系統Regression modelRegression modelRegression modelRegression model
提唱年1979195620192005
提唱者Bradley EfronQuenouille (1956); reviewed by Miller (1974)Wooldridge (textbook treatment); classical least squaresGood (2005); Edgington & Onghena (2007); resampling tradition
種類Resampling-based inferenceResampling / bias and variance estimationLinear regressionNonparametric resampling test
原典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5555
概要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: Bootstrap Inference · Jackknife · OLS Regression · Permutation Test. 2026-06-17に以下より取得 https://scholargate.app/ja/compare