The nonparametric maximum likelihood estimators of the distribution functions of observations in the truncation model are represented as iid mean processes, with a remainder term of order $o(n^{-1/2})$ a.s.
@article{1176350826,
author = {Chao, Min-Te and Lo, Shaw-Hwa},
title = {Some Representations of the Nonparametric Maximum Likelihood Estimators with Truncated Data},
journal = {Ann. Statist.},
volume = {16},
number = {1},
year = {1988},
pages = { 661-668},
language = {en},
url = {http://dml.mathdoc.fr/item/1176350826}
}
Chao, Min-Te; Lo, Shaw-Hwa. Some Representations of the Nonparametric Maximum Likelihood Estimators with Truncated Data. Ann. Statist., Tome 16 (1988) no. 1, pp. 661-668. http://gdmltest.u-ga.fr/item/1176350826/