• DocumentCode
    1320952
  • Title

    Evaluation of Pr {x⩾y} When Both X and Y are from Three-Parameter Weibull Distributions

  • Author

    Brown, Gerald G. ; Rutemiller, Herbert C.

  • Author_Institution
    Department of Quantitative Methods, California State University, Fullerton, Calif. 92631.
  • Issue
    2
  • fYear
    1973
  • fDate
    6/1/1973 12:00:00 AM
  • Firstpage
    78
  • Lastpage
    82
  • Abstract
    It is important in many reliability applications to determine the probability that the failure time of an element from one population will exceed that of an element from a second population. In this paper, we present a method for computer calculations of Pr {x ⩾ y} where X and Y are each from a three-parameter Weibull distribution. In addition, we provide the moments and the probability density function of the difference. Numerical examples are included.
  • Keywords
    Application software; Fatigue; Interference; Iron alloys; Parameter estimation; Probability density function; Programming; Random variables; Reliability theory; Weibull distribution;
  • fLanguage
    English
  • Journal_Title
    Reliability, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9529
  • Type

    jour

  • DOI
    10.1109/TR.1973.5216038
  • Filename
    5216038