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Regression model

W-Estimator Robust Regression (Welsch / Tukey Bisquare)

W-estimatoren er en familie af robuste M-estimator-varianter til lineær regression, der anvender Tukey bisquare- og Welsch-vægtfunktionerne, introduceret i den arbejdsrække, der går tilbage til Beaton og Tukey (1974). Fordi dens vægte hurtigt falder mod nul, når et residual vokser, modstår den outliers stærkere end Huber M-estimatoren.

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Kilder

  1. Beaton, A. E. & Tukey, J. W. (1974). The Fitting of Power Series, Meaning Polynomials, Illustrated on Band-Spectroscopic Data. Technometrics, 16(2), 147-185. DOI: 10.1080/00401706.1974.10489171
  2. Maronna, R. A., Martin, R. D., Yohai, V. J. & Salibián-Barrera, M. (2019). Robust Statistics: Theory and Methods (with R) (2nd ed.). Wiley. ISBN: 978-1119214687

Sådan citerer du denne side

ScholarGate. (2026, June 1). W-Estimator Robust Regression (Welsch / Tukey Bisquare). ScholarGate. https://scholargate.app/da/statistics/w-estimator

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ScholarGateW-Estimator (W-Estimator Robust Regression (Welsch / Tukey Bisquare)). Hentet 2026-06-15 fra https://scholargate.app/da/statistics/w-estimator · Datasæt: https://doi.org/10.5281/zenodo.20539026