手法を比較

	頑健なCox回帰	頑健回帰
分野	統計学	統計学
系統	Regression model	Regression model
提唱年	1989	1964
提唱者	Lin & Wei	Peter J. Huber (M-estimation, 1964); Frank Hampel (influence function, 1974)
種類	Semi-parametric survival regression with robust variance	Regression with outlier resistance
原典	Lin, D. Y., & Wei, L. J. (1989). The robust inference for the Cox proportional hazards model. Journal of the American Statistical Association, 84(408), 1074–1078.	Huber, P. J. (1964). Robust estimation of a location parameter. The Annals of Mathematical Statistics, 35(1), 73–101.
別名	Cox model with robust standard errors, sandwich-variance Cox regression, Lin-Wei robust Cox model, robust partial likelihood regression	M-estimation regression, robust linear regression, outlier-resistant regression, MM-estimation
関連	3	6
概要	Robust Cox regression fits the standard Cox proportional hazards model but replaces the model-based variance estimate with a sandwich (Huber-White) estimator. This yields valid standard errors and confidence intervals even when observations are clustered, the independence assumption is mildly violated, or the working model is slightly misspecified, without discarding the familiar hazard-ratio interpretation.	Robust regression estimates the linear relationship between a continuous outcome and predictors while sharply reducing the influence of outliers and leverage points. Unlike OLS, which is highly sensitive to extreme observations, robust methods assign down-weighted influence to atypical data points, producing coefficient estimates that remain stable even when a fraction of the data is contaminated or non-normally distributed.