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A Reliability Test of a Complex System Based on Empirical Likelihood

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  • Yan Zhou
  • Liya Fu
  • Jun Zhang
  • Yongchang Hui

Abstract

To analyze the reliability of a complex system described by minimal paths, an empirical likelihood method is proposed to solve the reliability test problem when the subsystem distributions are unknown. Furthermore, we provide a reliability test statistic of the complex system and extract the limit distribution of the test statistic. Therefore, we can obtain the confidence interval for reliability and make statistical inferences. The simulation studies also demonstrate the theorem results.

Suggested Citation

  • Yan Zhou & Liya Fu & Jun Zhang & Yongchang Hui, 2016. "A Reliability Test of a Complex System Based on Empirical Likelihood," PLOS ONE, Public Library of Science, vol. 11(10), pages 1-14, October.
    • Handle: RePEc:plo:pone00:0163557
    DOI: 10.1371/journal.pone.0163557
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