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Bootstrap-meetodist×Tavaline vähimruutude (OLS) regressioon×Theil-Seni hinnang×
ValdkondStatistikaÖkonomeetriaStatistika
PerekondRegression modelRegression modelRegression model
Tekkeaasta197920191968
LoojaBradley EfronWooldridge (textbook treatment); classical least squaresHenri Theil (1950); P. K. Sen (1968)
TüüpResampling-based inferenceLinear regressionRobust linear regression
AlgallikasEfron, B. (1979). Bootstrap Methods: Another Look at the Jackknife. Annals of Statistics, 7(1), 1-26. DOI ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860Sen, P. K. (1968). Estimates of the Regression Coefficient Based on Kendall's Tau. Journal of the American Statistical Association, 63(324), 1379-1389. DOI ↗
Rööpnimetusedbootstrap, bootstrap resampling, nonparametric bootstrap, Bootstrap Çıkarımıordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuTheil-Sen Tahmincisi, Theil-Sen regression, median slope estimator, Sen's slope estimator
Seotud556
KokkuvõteBootstrap 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.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 Theil-Sen estimator is a robust linear regression method that estimates the slope as the median of the slopes computed over all pairs of data points. Introduced by Henri Theil in 1950 and extended by P. K. Sen in 1968, it tolerates outliers in the response with a breakdown point of about 29%.
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ScholarGateVõrdle meetodeid: Bootstrap Inference · OLS Regression · Theil-Sen Estimator. Loetud 2026-06-18 aadressilt https://scholargate.app/et/compare