A model of interval censorship of a failure time T is considered when there is only one inspection time Y. The observable data are n independent copies of the pair $(Y, \delta)$, where $\delta = [T \leq Y]$. We construct a class of self-consistent estimators of the survival function of T defined implicitly through two equations and show their strong consistency under certain conditions. The properties of the onparametric maximum likelihood estimator are also investigated.
Publié le : 1996-04-14
Classification:
Interval censorship,
self-consistency,
EM algorithm,
counting process,
60G05,
62G99
@article{1032894457,
author = {Wang, Zhiming and Gardiner, Joseph C.},
title = {A class of estimators of the survival function from interval-censored data},
journal = {Ann. Statist.},
volume = {24},
number = {6},
year = {1996},
pages = { 647-658},
language = {en},
url = {http://dml.mathdoc.fr/item/1032894457}
}
Wang, Zhiming; Gardiner, Joseph C. A class of estimators of the survival function from interval-censored data. Ann. Statist., Tome 24 (1996) no. 6, pp. 647-658. http://gdmltest.u-ga.fr/item/1032894457/