In this paper, we study the local deviations of the empirical measure defined by the Kaplan-Meier (1958) estimator for the survival function. The results are applied to derive best rates of convergence for kernel estimators for the density and hazard rate function in the random censorship model.
"Local Convergence of Empirical Measures in the Random Censorship Situation with Application to Density and Rate Estimators." Ann. Statist. 14 (3) 1240 - 1245, September, 1986. https://doi.org/10.1214/aos/1176350063