Accelerated failure time model

Summary

An accelerated failure time model says that covariates stretch or shrink the time scale of a lifetime. The survival function for covariates $x$ is the baseline survival function evaluated at a rescaled time $t e^{-\beta^T x}$. Equivalently, $\log T$ is a linear function of the covariates plus an error term, so the model is a linear regression for log-times. It is the main alternative to the proportional hazards model in survival analysis; the Weibull family is the only one that satisfies both.