### Regression Analysis of Interval-Censored Data with Informative Observation Times Under the Accelerated Failure Time Model

ZHAO Shishun1, DONG Lijian1, SUN Jianguo2

1. 1. Center for Applied Statistical Research, School of Mathematics, Jilin University, Changchun 130012, China;
2. Department of Statistics, University of Missouri, Columbia, MO 65211, USA
• Received:2020-09-03 Revised:2020-12-31 Online:2022-08-25 Published:2022-08-02
• Supported by:
This research was supported by the National Natural Science Foundation of China under Grant No. 11671168 and the Science and Technology Developing Plan of Jilin Province under Grant No. 20200201258JC.

ZHAO Shishun, DONG Lijian, SUN Jianguo. Regression Analysis of Interval-Censored Data with Informative Observation Times Under the Accelerated Failure Time Model[J]. Journal of Systems Science and Complexity, 2022, 35(4): 1520-1534.

This paper discusses regression analysis of interval-censored failure time data arising from the accelerated failure time model in the presence of informative censoring. For the problem, a sieve maximum likelihood estimation approach is proposed and in the method, the copula model is employed to describe the relationship between the failure time of interest and the censoring or observation process. Also I-spline functions are used to approximate the unknown functions in the model, and a simulation study is carried out to assess the finite sample performance of the proposed approach and suggests that it works well in practical situations. In addition, an illustrative example is provided.
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