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Imprecise inference based on the log-rank test for accelerated life testing

Coolen, F.P.A.; Ahmadini, A.A.H.; Coolen-Maturi, T.

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Authors

A.A.H. Ahmadini



Abstract

This paper presents an imprecise predictive inference method for accelerated life testing. The method is largely nonparametric, with a basic parametric function to link different stress levels. The log-rank test is used to provide imprecision for the link function parameter, which in turn provides robustness in the resulting lower and upper survival functions for a future observation at the normal stress level. An application using data from the literature is presented, and simulations show the performance and robustness of the method. In case of model misspecification, robustness may be achieved at the price of large imprecision, which would emphasize the need for more data or further model assumptions.

Citation

Coolen, F., Ahmadini, A., & Coolen-Maturi, T. (2021). Imprecise inference based on the log-rank test for accelerated life testing. Metrika, 84, 913-925. https://doi.org/10.1007/s00184-021-00807-4

Journal Article Type Article
Acceptance Date Jan 8, 2021
Online Publication Date Feb 9, 2021
Publication Date 2021-08
Deposit Date Jan 25, 2021
Publicly Available Date Apr 14, 2021
Journal Metrika
Print ISSN 0026-1335
Electronic ISSN 1435-926X
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 84
Pages 913-925
DOI https://doi.org/10.1007/s00184-021-00807-4

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.






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