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Nonparametric predictive inference for competing risks

Author

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  • T A Maturi
  • P Coolen-Schrijner
  • F P A Coolen

Abstract

In reliability, failure data often correspond to competing risks, where several failure modes can cause a unit to fail. This paper presents nonparametric predictive inference (NPI) for competing risks data, assuming that the different failure modes are independent. NPI is a statistical approach based on few assumptions, with inferences strongly based on data and with uncertainty quantified via lower and upper probabilities. The focus is on the lower and upper probabilities for the event that a future unit will fail due to a specific failure mode. The paper illustrates the effect of grouping different failure modes together, and some special cases and features are discussed. It is also shown that NPI can easily deal with competing risks data resulting from experiments with progressive censoring. Furthermore, new formulae are presented for the NPI lower and upper survival functions.

Suggested Citation

  • T A Maturi & P Coolen-Schrijner & F P A Coolen, 2010. "Nonparametric predictive inference for competing risks," Journal of Risk and Reliability, , vol. 224(1), pages 11-26, March.
    • Handle: RePEc:sae:risrel:v:224:y:2010:i:1:p:11-26
    DOI: 10.1243/1748006XJRR263
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    Citations

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    Cited by:

    1. Coolen-Maturi, Tahani, 2014. "Nonparametric predictive pairwise comparison with competing risks," Reliability Engineering and System Safety, Elsevier, vol. 132(C), pages 146-153.
    2. Janurová, Kateřina & Briš, Radim, 2014. "A nonparametric approach to medical survival data: Uncertainty in the context of risk in mortality analysis," Reliability Engineering and System Safety, Elsevier, vol. 125(C), pages 145-152.
    3. Yin, Yi-Chao & Coolen, Frank P.A. & Coolen-Maturi, Tahani, 2017. "An imprecise statistical method for accelerated life testing using the power-Weibull model," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 158-167.
    4. Coolen-Maturi, Tahani & Coolen, Frank P.A., 2014. "Nonparametric predictive inference for combined competing risks data," Reliability Engineering and System Safety, Elsevier, vol. 126(C), pages 87-97.

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