Additive Transformation Models for Recurrent Events |
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Authors: | Yutao Liu Liuquan Sun |
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Institution: | 1. School of Statistics and Management , Shanghai University of Finance and Economics , Shanghai , China;2. Academy of Mathematics and System Sciences , Chinese Academy of Science , Beijing , China |
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Abstract: | In this article, we propose a class of additive transformation models for recurrent event data, which includes the additive rates model as a special case. The new models offer great flexibility in formulating the effects of covariates on the mean function of recurrent events. Estimating equation approaches are developed for the model parameters, and asymptotic properties of the resulting estimators are established. In addition, a model checking procedure is presented to assess the adequacy of the model. The finite sample performance of the proposed estimators is examined through simulation studies, and an application to a bladder cancer study is presented. |
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Keywords: | Additive model Estimating equation Mean function Recurrent events Transformation model |
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