• DocumentCode
    778976
  • Title

    Some remarks on rare-event approximation

  • Author

    Collet, Jérôme

  • Author_Institution
    Electr. de France, Clamart, France
  • Volume
    45
  • Issue
    1
  • fYear
    1996
  • fDate
    3/1/1996 12:00:00 AM
  • Firstpage
    106
  • Lastpage
    108
  • Abstract
    Two fault-tree analysis methods to compute the minimal cutsets union probability are: the rare-event approximation, and the minimal cutset upper-bound. The rare-event approximation is accurate if all the basic events have low probabilities. The accuracy improvement provided by the minimal cutset upper-bound approximation is negligible
  • Keywords
    approximation theory; consecutive system reliability; fault trees; probability; Boolean model; fault-tree analysis methods; inclusion-exclusion principle; low probabilities; minimal cutset upper-bound approximation; minimal cutsets union probability; rare event approximation; rare-event approximation; Boolean functions; Data structures; Probability; Tree data structures;
  • fLanguage
    English
  • Journal_Title
    Reliability, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9529
  • Type

    jour

  • DOI
    10.1109/24.488924
  • Filename
    488924