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| Bootstrap-Inferenz× | Verallgemeinerte Kleinste Quadrate (GLS)× | |
|---|---|---|
| Fachgebiet | Statistik | Statistik |
| Familie | Regression model | Regression model |
| Entstehungsjahr≠ | 1979 | 1935 |
| Urheber≠ | Bradley Efron | Alexander Craig Aitken |
| Typ≠ | Resampling-based inference | Linear estimator |
| Wegweisende Quelle≠ | Efron, B. (1979). Bootstrap Methods: Another Look at the Jackknife. Annals of Statistics, 7(1), 1-26. DOI ↗ | Aitken, A. C. (1935). IV.—On least squares and linear combination of observations. Proceedings of the Royal Society of Edinburgh, 55, 42–48. DOI ↗ |
| Aliasnamen≠ | bootstrap, bootstrap resampling, nonparametric bootstrap, Bootstrap Çıkarımı | GLS, Aitken estimator, EGLS, feasible GLS |
| Verwandt≠ | 5 | 3 |
| Zusammenfassung≠ | 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. | Generalized Least Squares (GLS) is a linear regression estimator that extends ordinary least squares to handle situations where the error terms are correlated or have non-constant variance (heteroscedasticity). Introduced by Alexander Craig Aitken in 1935, GLS achieves the Best Linear Unbiased Estimator (BLUE) under a general error covariance structure by weighting observations according to their precision, providing a theoretical bridge between OLS and modern linear mixed models. |
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