Proportional Rate Model with Incomplete Covariate and Complete Auxiliary Information |
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Authors: | Zhibin Xu Luqin Liu |
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Affiliation: | 1. School of Statistics, Capital University of Economics and Business, Beijing, P. R. China;2. School of Mathematics and Statistics, Wuhan University, Wuhan, P. R. China |
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Abstract: | This paper deals with the analysis of proportional rate model for recurrent event data when covariates are subject to missing. The true covariate is measured only on a randomly chosen validation set, whereas auxiliary information is available for all cohort subjects. To further utilize the auxiliary information to improve study efficiency, we propose an estimated estimating equation for the regression parameters. The resulting estimators are shown to be consistent and asymptotically normal. Both graphical and numerical techniques for checking the adequacy of the model are presented. Simulations are conducted to evaluate the finite sample performance of the proposed estimators. Illustration with a real medical study is provided. |
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Keywords: | Auxiliary covariate Estimating equation Proportional rate model Recurrent event data Validation set |
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