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Activity Number: 485
Type: Contributed
Date/Time: Thursday, August 7, 2008 : 8:30 AM to 10:20 AM
Sponsor: Biometrics Section
Abstract - #301051
Title: Estimating the Convolution of Distributions Under the Partial Koziol-Green Model of Random Censorship
Author(s): Ke Wu*+
Companies: California State University, Fresno
Address: 5245 North Backer Avenue M/S PB 108, Fresno, CA, 93740-8001,
Keywords: convolution ; partial Koziol-Green model ; random censorship ; influence function ; partial ACL estimator ; product limit estimator
Abstract:

In survival analysis, a model of informative censoring is the Koziol-Green (KG) model, where the survival function of the censoring times is some power of the survival function of the lifetimes. A generalization of the KG model is the partial Koziol-Green (PKG) model which allows the lifetimes to be censored by two types of variables, one of which censors in an informative way and the other one in a non-informative way. In this paper, an estimator is proposed for the convolution of distribution functions under the PKG model. Our estimator uses the partial ACL estimator for the survival function under the PKG model instead of the product limit estimator of Kaplan and Meier (1958) that is used in Lagakos and Reid (1981). The asymptotic distribution of the new estimator is established.


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