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稳健线性回归

稳健线性回归在预测变量与连续结果变量之间拟合线性模型,同时降低或剔除有影响力的异常值,从而防止少数异常观测值(普通最小二乘法以其敏感性而闻名)扭曲整个估计直线。主要变体包括 Huber 回归、迭代重加权最小二乘法 (IRLS)、RANSAC 和 Theil-Sen 估计。

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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. Rousseeuw, P. J. & Leroy, A. M. (1987). Robust Regression and Outlier Detection. Wiley. ISBN: 978-0-471-85233-9

如何引用本页

ScholarGate. (2026, June 3). Robust Linear Regression (Outlier-Resistant Estimation). ScholarGate. https://scholargate.app/zh/machine-learning/robust-linear-regression

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被引用于

ScholarGateRobust Linear Regression (Robust Linear Regression (Outlier-Resistant Estimation)). 于 2026-06-15 检索自 https://scholargate.app/zh/machine-learning/robust-linear-regression · 数据集: https://doi.org/10.5281/zenodo.20539026