Cox proportional hazards regression is a semi-parametric method for survival analysis. No distributional form needs to be assumed, only that the effect of one-unit increase in a covariate is a constant multiple.

Cox proportional hazards regression is a very popular semi-parametric method for survival analysis.

It is semi-parametric in that the baseline hazard is left unspecified, but parameters for the effects of covariates are estimated. Eliminating the possibility of misspecifying the baseline makes the beta estimates more robust.

Proportional hazards means that no matter what the baseline hazard may be at any point in time, the ceteris paribus effect of a one-unit increase in a covariate is a constant multiple of the baseline hazard.

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