Statistical inference for the accelerated failure time model under two-stage generalized case–cohort design

Abstract

In this article, we propose a two-stage generalized case–cohort design and develop an efficient inference procedure for the data collected with this design. In the first-stage, we observe the failure time, censoring indicator and covariates which are easy or cheap to measure, and in the second-stage, select a subcohort by simple random sampling and a subset of failures in remaining subjects from the first-stage subjects to observe their exposures which are different or expensive to measure. We derive estimators for regression parameters in the accelerated failure time model under the two-stage generalized case–cohort design through the estimated augmented estimating equation and the kernel function method. The resulting estimators are shown to be consistent and asymptotically normal. The finite sample performance of the proposed method is evaluated through the simulation studies. The proposed method is applied to a real data set from the National Wilm’s Tumor Study Group.

Keywords:

• Accelerated failure time model
• Estimated augmented estimating equation
• Kernel method
• Generalized case–cohort
• Two-stage sampling

MR (2010) Subject Classification:

• 62D05
• 62N01
• 62J99

Additional information

Funding

This work is partly supported by the National Science Foundation of China grant 11501578, 11701571 and 11801531.