Skip to main content

Research Repository

Advanced Search

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.

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


Authors

A.A.H. Ahmadini



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

Files

Accepted Journal Article (379 Kb)
PDF

Copyright Statement
Ahmadini, A.A.H. & Coolen, F.P.A. (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. Copyright © 2019 IMechE 2019 DOI: 10.1177/1748006X19884860







You might also like



Downloadable Citations