STRONG REPRESENTATIONS OF THE SURVIVAL FUNCTION ESTIMATOR ON INCREASING SETS FOR TRUNCATED AND CENSORED DATA

摘要

In this paper, based on random left truncated and right censored data the anthors derive strong representations of the cumulative hazard function estimator and the product-limit estimator of the survival function, which are valid up to a given order statistie of the observations. A precise bound for the errors is obtained which only depends on the index of the last order statistic to be included.