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Regression model

Huber回归

Huber回归是一种稳健的线性回归方法,由Peter J. Huber于1964年提出,它通过对小残差和大残差采用不同的损失函数来抵抗异常值的影响。它对小的残差应用平方损失(类似OLS),对大的残差应用较温和的绝对值损失,因此极端观测值无法主导拟合结果。

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来源

  1. Huber, P. J. (1964). Robust Estimation of a Location Parameter. Annals of Mathematical Statistics, 35(1), 73-101. DOI: 10.1214/aoms/1177703732
  2. Hampel, F. R., Ronchetti, E. M., Rousseeuw, P. J., & Stahel, W. A. (1986). Robust Statistics: The Approach Based on Influence Functions. Wiley. ISBN: 978-0471735779

如何引用本页

ScholarGate. (2026, June 1). Huber Robust Regression (M-estimation). ScholarGate. https://scholargate.app/zh/statistics/huber-regression

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被引用于

ScholarGateHuber Regression (Huber Robust Regression (M-estimation)). 于 2026-06-15 检索自 https://scholargate.app/zh/statistics/huber-regression · 数据集: https://doi.org/10.5281/zenodo.20539026