Abstract
A Cramér type large deviation result is obtained for the Kaplan-Meier estimator in the general model of right random censorship and also for the survival function estimator in the submodel of proportional hazards. Such results concern the relative error in the right tail if the exact distribution is replaced by the normal approximation. The proofs rely on U-statistic representation theorems for the survival function estimators.
AMS 1991 Subject Classification: