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

Frank P. A. Coolen (), Abdullah A. H. Ahmadini and Tahani Coolen-Maturi
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Frank P. A. Coolen: Durham University
Abdullah A. H. Ahmadini: Jazan University
Tahani Coolen-Maturi: Durham University

Metrika: International Journal for Theoretical and Applied Statistics, 2021, vol. 84, issue 6, No 6, 913-925

Abstract: 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.

Keywords: Accelerated life testing; Arrhenius link function; Failure data; Imprecise probability; Log-rank test; Lower and upper survival functions; Nonparametric predictive inference; Right-censored data (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s00184-021-00807-4

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