Statistical inference for the Arrhenius-Weibull accelerated life testing model with imprecision based on the likelihood ratio test
| Autor: | Abdullah A.H. Ahmadini, Frank P. A. Coolen |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Arrhenius equation
021103 operations research 0211 other engineering and technologies Nonparametric statistics Failure data 02 engineering and technology Imprecise probability 01 natural sciences Accelerated life testing 010104 statistics & probability symbols.namesake Likelihood-ratio test Statistics symbols Statistical inference 0101 mathematics Safety Risk Reliability and Quality Mathematics Weibull distribution |
| Zdroj: | Proceedings of the institution of mechanical engineers, part O : journal of risk and reliability, 2020, Vol.234(2), pp.275-289 [Peer Reviewed Journal] |
| ISSN: | 1748-0078 1748-006X |
| Popis: | In this article, 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. |
| Databáze: | OpenAIRE |
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