The uniform central limit theorem for the Kaplan-Meier integral process

Let U-n (f) = rootn integral fd((F) over cap (n) - (F) over tilde) be the Kaplan-Meier integral process constructed from a random censorship model. We prove a uniform central limit theorem for {U-n} under the bracketing entropy condition and mild conditions due to the censoring effects. We also prove a sequential version of the uniform central limit theorem that will give a functional law of the iterated logarithm of Strassen type.