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Equivalent accelerated life testing plans for log‐location‐scale distributions

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  • Haitao Liao
  • Elsayed A. Elsayed

Abstract

Accelerated life testing (ALT) is widely used to determine the failure time distribution of a product and the associated life‐stress relationship in order to predict the product's reliability under normal operating conditions. Many types of stress loadings such as constant‐stress, step‐stress and cyclic‐stress can be utilized when conducting ALT. Extensive research has been conducted on the analysis of ALT data obtained under a specified stress loading. However, the equivalency of ALT experiments involving different stress loadings has not been investigated. In this article, a log‐location‐scale distribution under Type I censoring is considered in planning ALT. An idea is provided for the equivalency of various ALT plans involving different stress loadings. Based on this idea, general equivalent ALT plans and some special types of equivalent ALT plans are explored. For demonstration, a constant‐stress ALT and a ramp‐stress ALT for miniature lamps are presented and their equivalency is investigated. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010

Suggested Citation

  • Haitao Liao & Elsayed A. Elsayed, 2010. "Equivalent accelerated life testing plans for log‐location‐scale distributions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 57(5), pages 472-488, August.
    • Handle: RePEc:wly:navres:v:57:y:2010:i:5:p:472-488
    DOI: 10.1002/nav.20415
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    References listed on IDEAS

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    1. Sang-Jun Park & Bong-Jin Yum, 1998. "Optimal design of accelerated life tests under modified stress loading methods," Journal of Applied Statistics, Taylor & Francis Journals, vol. 25(1), pages 41-62.
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    Cited by:

    1. Cheng‐Hung Hu & Robert D. Plante & Jen Tang, 2013. "Statistical equivalency and optimality of simple step‐stress accelerated test plans for the exponential distribution," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(1), pages 19-30, February.
    2. Cheng, Yao & Liao, Haitao & Huang, Zhiyi, 2021. "Optimal degradation-based hybrid double-stage acceptance sampling plan for a heterogeneous product," Reliability Engineering and System Safety, Elsevier, vol. 210(C).

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