Estimating subject-specific survival functions under the accelerated failure time model

We use the semiparametric accelerated failure time model to predict the survival function and its related quantities for future subjects with a given set of covariates.We derive the large-sample distribution for the subject-specific cumulative hazard function estimate. We then propose a simple resampling technique for constructing pointwise confidence intervals and simultaneous bands for the corresponding survival function and its quantile function over a properly selected time interval. The new proposals are illustrated with the Mayo primary biliary cirrhosis data.