Joint model-free feature screening for ultra-high dimensional semi-competing risks data

Shuiyun Lu, Xiaolin Chen (Corresponding Author), Sheng Xu, Catherine Chunling Liu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

Abstract

High-dimensional semi-competing risks data consisting of two probably correlated events, namely terminal event and non-terminal event, arise commonly in many biomedical studies. However, the corresponding statistical analysis is rarely investigated. A joint model-free feature screening procedure for both terminal and non-terminal events is proposed, which could allow the associated covariates to be in an ultra-high dimensional feature space. The joint screening utility is constructed from distance correlation between each predictor’s survival function and joint survival function of terminal and non-terminal events. Under rather mild technical assumptions, it is demonstrated that the proposed joint feature screening procedure enjoys sure screening and consistency in ranking properties. An adaptive threshold rule is further suggested to simultaneously identify important covariates and determine number of these covariates. Extensive numerical studies are conducted to examine the finite-sample performance of the proposed methods. Lastly, the suggested joint feature screening procedure is illustrated through a real example.
Original languageEnglish
Article number106942
Pages (from-to)12-27
Number of pages16
JournalComputational Statistics and Data Analysis
Volume147
DOIs
Publication statusPublished - Jul 2020

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