The strong law of large numbers for Kaplan-Meier \(U\)-statistics
The authors introduce Kaplan-Meier \(U\)-statistics of degree two for randomly censored data and prove a strong law of large numbers for them using the technique of \textit{W. Stute} and \textit{J.-L. Wang} [Ann. Stat., 21, No. 3, 1591-1607 (1993; Zbl 0785.60020)] by identifying appropriate reverse-time supermartingale processes. This approach avoids stringent assumptions.
scientific article; zbMATH DE number 1275652