On Linear Regression Under the Koziol-Green Model of Random Censorship

by Ke Wu .

Abstract: In the Koziol-Green model of random censorship the survival distribution of the censoring times is some power of the survival distribution of the lifetimes. We give a new method of estimating parameters in the linear regression model under the Koziol-Green model of random censorship. The maximum likelihood estimator for the survival function under the K-G model is used in the proposed method, rather than the product-limit estimator of Kaplan and Meier (1958) used in Buckley & James's (1979) procedure for estimating parameters in the linear regression model with censored data. Simulations comparing the two methods are described.

Key Words: Linear Regression, Koziol-Green Model, Random Censorship, Maximum Likelihood Estimator, Product Limit Estimator

Authors:
Ke Wu, kwu@olemiss.edu

Editor: Dayanand N. Naik , dnn@math.odu.edu

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