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ブートストラップ推論×ジャックナイフ法×Quantile Regression (Nonparametric Variants)×最小二乗法 (OLS) 回帰×
分野統計学統計学統計学計量経済学
系統Regression modelRegression modelRegression modelRegression model
提唱年1979195619782019
提唱者Bradley EfronQuenouille (1956); reviewed by Miller (1974)Koenker & BassettWooldridge (textbook treatment); classical least squares
種類Resampling-based inferenceResampling / bias and variance estimationQuantile regression (nonparametric variants)Linear regression
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 ↗Koenker, R. & Bassett, G. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
別名bootstrap, bootstrap resampling, nonparametric bootstrap, Bootstrap Çıkarımıleave-one-out resampling, Quenouille-Tukey jackknife, delete-one jackknife, Jackknife Yeniden Örneklemequantile regression, median regression, distribution-free quantile regression, Kantil Regresyon (Nonparametric Varyantlar)ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
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.Quantile regression, introduced by Koenker and Bassett in 1978, models a chosen conditional quantile (such as the median or the 25th and 75th percentiles) of a continuous outcome rather than its mean. Its nonparametric variants fit these quantile relationships without assuming a distribution for the errors, making them a robust complement to mean-based regression on skewed data.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).
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ScholarGate手法を比較: Bootstrap Inference · Jackknife · Nonparametric Quantile Regression · OLS Regression. 2026-06-17に以下より取得 https://scholargate.app/ja/compare