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On correlation rank screening for ultra-high dimensional competing risks data

Author

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  • Xiaolin Chen
  • Chenguang Li
  • Tao Zhang
  • Zhenlong Gao

Abstract

In recent years, numerous feature screening schemes have been developed for ultra-high dimensional standard survival data with only one failure event. Nevertheless, existing literature pays little attention to related investigations for competing risks data, in which subjects suffer from multiple mutually exclusive failures. In this article, we develop a new marginal feature screening for ultra-high dimensional time-to-event data to allow for competing risks. The proposed procedure is model-free, and robust against heavy-tailed distributions and potential outliers for time to the type of failure of interest. Apart from this, it is invariant to any monotone transformation of event time of interest. Under rather mild assumptions, it is shown that the newly suggested approach possesses the ranking consistency and sure independence screening properties. Some numerical studies are conducted to evaluate the finite-sample performance of our method and make a comparison with its competitor, while an application to a real data set is provided to serve as an illustration.

Suggested Citation

  • Xiaolin Chen & Chenguang Li & Tao Zhang & Zhenlong Gao, 2022. "On correlation rank screening for ultra-high dimensional competing risks data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 49(7), pages 1848-1864, May.
    • Handle: RePEc:taf:japsta:v:49:y:2022:i:7:p:1848-1864
    DOI: 10.1080/02664763.2021.1884209
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    Cited by:

    1. Yang Qu & Yu Cheng, 2023. "Volume under the ROC surface for high-dimensional independent screening with ordinal competing risk outcomes," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 29(4), pages 735-751, October.

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