In this paper we study the Kaplan-Meier estimator in the case where survival and censoring times are not all i.i.d. We prove several results which are analogous to those shown by van Zuijlen in the complete data case.
"Some Properties of the Kaplan-Meier Estimator for Independent Nonidentically Distributed Random Variables." Ann. Statist. 19 (4) 2266 - 2274, December, 1991. https://doi.org/10.1214/aos/1176348399