Double censoring often occurs in collecting lifetime data and accordingly self-consistent estimators are widely employed for estimating the survival functions. In this paper we prove the weak convergence of self-consistent estimators using classical results on the Fredholm integral equation. Also, a method of calculating the asymptotic variance is presented.
Publié le : 1990-03-14
Classification:
Survival function,
doubly censored data,
self-consistent estimation,
weak convergence,
Fredholm integral equation,
62G05,
62G99
@article{1176347506,
author = {Chang, Myron N.},
title = {Weak Convergence of a Self-Consistent Estimator of the Survival Function with Doubly Censored Data},
journal = {Ann. Statist.},
volume = {18},
number = {1},
year = {1990},
pages = { 391-404},
language = {en},
url = {http://dml.mathdoc.fr/item/1176347506}
}
Chang, Myron N. Weak Convergence of a Self-Consistent Estimator of the Survival Function with Doubly Censored Data. Ann. Statist., Tome 18 (1990) no. 1, pp. 391-404. http://gdmltest.u-ga.fr/item/1176347506/