• DocumentCode
    976617
  • Title

    Compound Poisson approximation in reliability theory

  • Author

    Barbour, Andrew D. ; Chryssaphinou, Ourania ; Roos, Mdgorzata

  • Author_Institution
    Abteilung fur Angewandte Math., Zurich Univ., Switzerland
  • Volume
    44
  • Issue
    3
  • fYear
    1995
  • fDate
    9/1/1995 12:00:00 AM
  • Firstpage
    398
  • Lastpage
    402
  • Abstract
    The use of the compound Poisson local formulation of Stein´s method to obtain reliability bounds is discussed. In the context of the consecutive-k-out-of-n model, the approximations obtained are comparable with the best known for the system, which rely heavily on its special structure. In contrast, Stein´s method for the compound Poisson approach can be applied equally effectively in many more-complicated models
  • Keywords
    Poisson distribution; approximation theory; probability; reliability theory; Stein´s method; compound Poisson approximation; consecutive-k-out-of-n model; reliability bounds; reliability theory; Context modeling; Design engineering; Power engineering and energy; Power engineering computing; Power system modeling; Power system planning; Power system reliability; Reliability engineering; Reliability theory; Systems engineering and theory;
  • fLanguage
    English
  • Journal_Title
    Reliability, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9529
  • Type

    jour

  • DOI
    10.1109/24.406572
  • Filename
    406572