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Nonparametric predictive pairwise comparison with competing risks

Coolen-Maturi, T.

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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 pairwise comparison with competing risks data, assuming that the failure modes are independent. These failure modes could be the same or different among the two groups, and these can be both observed and unobserved failure modes. 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 the lifetime of a future unit from one group, say Y, is greater than the lifetime of a future unit from the second group, say X. The paper also shows how the two groups can be compared based on particular failure mode(s), and the comparison of the two groups when some of the competing risks are combined is discussed.

Citation

Coolen-Maturi, T. (2014). Nonparametric predictive pairwise comparison with competing risks. Reliability Engineering & System Safety, 132, 146-153. https://doi.org/10.1016/j.ress.2014.07.014

Journal Article Type Article
Acceptance Date Jul 17, 2014
Online Publication Date Jul 30, 2014
Publication Date Dec 1, 2014
Deposit Date Jul 30, 2014
Publicly Available Date Aug 5, 2014
Journal Reliability Engineering and System Safety
Print ISSN 0951-8320
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 132
Pages 146-153
DOI https://doi.org/10.1016/j.ress.2014.07.014
Keywords Competing risks, Reliability, Pairwise comparison, Nonparametric predictive inference, Lower and upper probabilities, Lower and upper survival functions, Right-censored data.

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Copyright Statement
NOTICE: this is the author’s version of a work that was accepted for publication in Reliability Engineering & System Safety. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Reliability Engineering & System Safety, 132, 2014, 10.1016/j.ress.2014.07.014.





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