Semiparametric Analysis for Additive Risk Model via Empirical Likelihood

ABSTRACT Cox's proportional hazards model has been the most popular model for the regression analysis of censored survival data. However, the additive risk model provides a useful alternative. In this article, we apply the empirical likelihood ratio method to the additive risk model with right censoring and derive its limiting distribution. Based on the result, we construct a confidence region for the regression parameter. Useful extensions are discussed. Simulation results are presented to compare the proposed method with that method based on normal approximation.

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