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Cox 비례 위험 회귀분석×Robust Regression×
분야생존분석통계학
계열Survival analysisRegression model
기원 연도19721964
창시자Cox, D. R.Peter J. Huber (M-estimation, 1964); Frank Hampel (influence function, 1974)
유형Semi-parametric hazard regression modelRegression with outlier resistance
원전Cox, D. R. (1972). Regression Models and Life-Tables. Journal of the Royal Statistical Society: Series B, 34(2), 187–202. DOI ↗Huber, P. J. (1964). Robust estimation of a location parameter. The Annals of Mathematical Statistics, 35(1), 73–101. DOI ↗
별칭cox ph model, proportional hazards model, cox ph regression, Cox Orantılı Tehlikeler RegresyonuM-estimation regression, robust linear regression, outlier-resistant regression, MM-estimation
관련36
요약Cox proportional hazards regression, introduced by D. R. Cox in 1972, is a semi-parametric model that estimates how one or more covariates affect the hazard — the instantaneous rate of experiencing an event — while leaving the baseline hazard function unspecified. It is the standard multivariable method in survival analysis and produces hazard ratios that quantify the relative risk associated with each predictor.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.
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