Statistical inference for the Arrhenius-Weibull accelerated life testing model with imprecision based on the likelihood ratio test

Ahmadini, A.A.H.; Coolen, F.P.A.

Abstract

In this paper, we present a new imprecise statistical inference method for accelerated life testing data, where nonparametric predictive inferences at normal stress levels are integrated with a parametric Arrhenius-Weibull model. The method includes imprecision based on the likelihood ratio test which provides robustness with regard to the model assumptions. We use the likelihood ratio test to obtain an interval for the parameter of the Arrhenius link function providing imprecision into the method. The imprecision leads to observations at increased stress levels being transformed into interval-valued observations at the normal stress level, where the width of an interval is larger for observations from higher stress levels. If the model fits well, our method has relatively little imprecision. However, if the model fits poorly, it leads to more imprecision. Simulation studies are presented to investigate the performance of the proposed method.

Citation

Ahmadini, A., & Coolen, F. (2020). Statistical inference for the Arrhenius-Weibull accelerated life testing model with imprecision based on the likelihood ratio test. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 234(2), 275-289. https://doi.org/10.1177/1748006x19884860

• Journal Article Type: Article
• Acceptance Date: Oct 2, 2019
• Online Publication Date: Nov 25, 2019
• Publication Date: Apr 30, 2020
• Deposit Date: Oct 2, 2019
• Publicly Available Date: Oct 20, 2019
• Journal: Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability
• Print ISSN: 1748-006X
• Electronic ISSN: 1748-0078
• Publisher: SAGE Publications
• Peer Reviewed: Peer Reviewed
• Volume: 234
• Issue: 2
• Pages: 275-289
• DOI: https://doi.org/10.1177/1748006x19884860
• Public URL: https://durham-repository.worktribe.com/output/1290061