Reliability Bounds and Critical Time for the BirnbauMSaunders Distribution

Dong Shang Chang, Loon Ching Tang

Research output: Contribution to journalArticlepeer-review

55 Scopus citations


The BirnbauMSaunders distribution, under certain conditions, can be used to model the fatigue failure-time caused by catastrophic crack size. This paper obtains: • reliability bounds for the BirnbauMSaunders distribution, • point & interval estimates for the critical time of the failure (hazard)-rate. The confidence intervals are constructed under the assumption that both parameters are unknown. This method is not affected by censoring, as long as confidence intervals for the parameters can be established. Numerical examples illustrate the procedure.

Original languageEnglish
Pages (from-to)464-469
Number of pages6
JournalIEEE Transactions on Reliability
Issue number3
StatePublished - Sep 1993


  • BirnbauMSaunders distribution
  • Confidence bound
  • Critical time
  • Failure rate
  • Reliability function


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