• DocumentCode
    1350226
  • Title

    A Distribution-Free Upper Confidence Bound for Pr{Y < X}: An Application to Stress-strength Models

  • Author

    Singh, N.

  • Author_Institution
    Senior Lecturer; Department of Mathematics; Monash University; Clayton, Vic. 3168 AUSTRALIA.
  • Issue
    2
  • fYear
    1983
  • fDate
    6/1/1983 12:00:00 AM
  • Firstpage
    214
  • Lastpage
    216
  • Abstract
    A distribution-free upper s-confidence bound for Pr{Y < X} is obtained using s-independent samples of Y and X which are k-dimensional s-independent random vector variables each following a k-variate distribution. An application of the results to fatigue and stress-strength models is highlighted. A numerical example is discussed for illustration.
  • Keywords
    Distributed computing; Fatigue; Manufacturing; Material properties; Mathematical model; Probability; Random variables; Reliability theory; Statistical distributions; Stress measurement; Multivariate Kolmogorov-Smirnov statistic; Multivariate distribution; Stress-strength model; Upper s-confidence bound;
  • fLanguage
    English
  • Journal_Title
    Reliability, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9529
  • Type

    jour

  • DOI
    10.1109/TR.1983.5221538
  • Filename
    5221538