Asymptotic properties of inverse probability of censored weighted U-empirical process for right-censored data with applications

Abstract

In this paper, we study a class of empirical processes associated with U-statistics in the context of right-censored data when the censoring is independent, and the censored data is reweighted using the inverse of survival function of the censoring random variable. Asymptotic properties of these U-empirical processes are obtained. Theoretical results are applied on two classes of goodness-of-fit tests.