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Biometrika 2005 92(2):492-498; doi:10.1093/biomet/92.2.492
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© 2005 Biometrika Trust

Miscellanea

Empirical likelihood analysis of the rank estimator for the censored accelerated failure time model

Mai Zhou

Department of statistics, University of Kentucky, Lexington, Kentucky 40506 U.S.A mai{at}ms.uky.edu

We use the empirical likelihood method to derive a test and thus a confidence interval based on the rank estimators of the regression coefficient in the accelerated failure time model. Standard chi-squared distributions are used to calculate the p-value and to construct the confidence interval. Simulations and examples show that the chi-squared approximation to the distribution of the log empirical likelihood ratio performs well, and has some advantages over the existing methods.

Key Words: Gehan statistic; Survival data; Weighted log-rank statistic; Wilks theorem

Received May 2004. Revised October 2004.


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