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Regression model

S-estimator til robust regression

S-estimatoren er en robust lineær regressionsmetode, introduceret af Rousseeuw og Yohai i 1984, der estimerer koefficienterne ved at minimere et robust M-estimat af residualskalaen snarere end residualernes varians. Ved at nedbringe et begrænset mål for residualspredning kan den opnå et breakdown point på op til 50%, så den forbliver pålidelig, selv når en stor del af dataene er outliers, og den udgør det første trin i den velkendte MM-estimator.

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Kilder

  1. Rousseeuw, P. J. & Yohai, V. J. (1984). Robust Regression by Means of S-Estimators. In Robust and Nonlinear Time Series Analysis (Lecture Notes in Statistics, Vol. 26, pp. 256-272). Springer. DOI: 10.1007/978-1-4615-7821-5_15
  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). S-Estimator for Robust Regression. ScholarGate. https://scholargate.app/da/statistics/s-estimator

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ScholarGateS-Estimator (S-Estimator for Robust Regression). Hentet 2026-06-15 fra https://scholargate.app/da/statistics/s-estimator · Datasæt: https://doi.org/10.5281/zenodo.20539026