An imprecise statistical method for accelerated life testing using the power-Weibull model

Yi-Chao Yin, Frank P.A. Coolen and Tahani Coolen-Maturi

Reliability Engineering and System Safety, 2017, vol. 167, issue C, 158-167

Abstract: Accelerated life testing provides an interesting challenge for quantification of the uncertainties involved, in particular due to the required linking of the units’ failure times, or failure time distributions, at different stress levels. This paper provides an initial exploration of the use of statistical methods based on imprecise probabilities for accelerated life testing. We apply nonparametric predictive inference at the normal stress level, in combination with an estimated parametric power-Weibull model linking observations at different stress levels. To provide robustness with regard to this assumed link between different stress levels, we introduce imprecision by considering an interval around the parameter estimate, leading to observations at stress levels other than the normal level to be transformed to intervals at the normal level. The width of such intervals is increasing with the difference between the stress level at which a unit is tested and the normal level.

Keywords: Accelerated life testing; Imprecise probability; Lower and upper survival functions; Nonparametric predictive inference; Power-Weibull model; Right-censored data (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:167:y:2017:i:c:p:158-167

DOI: 10.1016/j.ress.2017.05.045

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