This paper deals with censored data estimation of a general class of von Mises-type functionals of the survival time distribution $F$. Conditions are given under which an almost sure asymptotic representation holds for the estimator, obtained by applying the same functional to $\hat{F}_n$, the product-limit estimator of Kaplan and Meier.
Publié le : 1991-09-14
Classification:
Censored data,
almost sure representation,
$V$-statistics,
asymptotic normality,
law of iterated logarithm,
quantiles,
62G05,
60F15
@article{1176348256,
author = {Gijbels, Irene and Veraverbeke, Noel},
title = {Almost Sure Asymptotic Representation for a Class of Functionals of the Kaplan-Meier Estimator},
journal = {Ann. Statist.},
volume = {19},
number = {1},
year = {1991},
pages = { 1457-1470},
language = {en},
url = {http://dml.mathdoc.fr/item/1176348256}
}
Gijbels, Irene; Veraverbeke, Noel. Almost Sure Asymptotic Representation for a Class of Functionals of the Kaplan-Meier Estimator. Ann. Statist., Tome 19 (1991) no. 1, pp. 1457-1470. http://gdmltest.u-ga.fr/item/1176348256/