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The Koul-Susarla-Van Ryzin and weighted least squares estimates for censored linear regression model: A comparative study
Authors:Yanchun Bao  Shuyuan He
Affiliation:a School of Mathematics, Manchester University, Manchester, M13 9PL, UK
b School of Mathematical Sciences, Peking University, Beijing, People's Republic of China
c School of Science, Xi’an Jiaotong University, Xi’an 710049, People's Republic of China
Abstract:The Koul-Susarla-Van Ryzin (KSV) and weighted least squares (WLS) methods are simple to use techniques for handling linear regression models with censored data. They do not require any iterations and standard computer routines can be employed for model fitting. Emphasis has been given to the consistency and asymptotic normality for both estimators, but the finite sample performance of the WLS estimator has not been thoroughly investigated. The finite sample performance of these two estimators is compared using an extensive simulation study as well as an analysis of the Stanford heart transplant data. The results demonstrate that the WLS approach performs much better than the KSV method and is reliable for use with censored data.
Keywords:Censored data  Linear regression model  Weighted least squares  Stanford heart transplant data
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