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›› 2016, Vol. 33 ›› Issue (4): 443-453.DOI: 10.7523/j.issn.2095-6134.2016.04.003

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Statistic inference of additive hazards model when censoring indicators are missing at random

CHEN Feifei1,2, SUN Zhihua1,2, YE Xue1,2   

  1. 1. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;
    2. Key Laboratory of Big Data Mining and Knowledge Management, Chinese Academy of Sciences, Beijing 100190, China
  • Received:2015-06-01 Revised:2015-11-20 Online:2016-07-15

Abstract:

In this work, we consider a semi-parametric additive hazards regression model for right-censored data with censoring indicators missing at random.By employing the information of the response and censoring probability models, we propose three estimators of the regression coefficient and the baseline cumulative hazard function.We prove that the proposed estimators are consistent and asymptotically normal.Simulation studies are conducted to evaluate the numerical performance of the proposed estimators in comparison with the existing estimators.A real data set is analyzed to validate the effectiveness of the proposed methods.

Key words: censoring information, missing at random, additive hazards regression model, weighting estimating equation, imputation estimating

CLC Number: