Approximate confidence limits of the reliability performances for a cold standby series system

Yimin Shi, Xiaolin Shi, Yong Xu

Research output: Contribution to journalReview articlepeer-review

5 Scopus citations

Abstract

This paper is to investigate the approximate confidence limits of the reliability performances (such as failure rate, reliability function and average life) for a cold standby series system. The Bayesian approximate upper confidence limit of failure rate is obtained firstly, and next Bayesian approximate lower confidence limits for reliability function and average life are presented. The expressions for calculating Bayesian lower confidence limits of the reliability function and average life are also obtained, and an illustrative example is examined numerically by means of the Monte-Carlo simulation. Finally, the accuracy of confidence limits is discussed.

Original languageEnglish
Pages (from-to)439-445
Number of pages7
JournalJournal of Applied Mathematics and Computing
Volume19
Issue number1-2
DOIs
StatePublished - Sep 2005

Keywords

  • Bayesian method
  • Cold standby series system
  • Confidence limits
  • The reliability performances

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