• DocumentCode
    1347863
  • Title

    Direct Optimisation for Calculating Maximum Likelihood Estimates of Parameters of the Weibull Distribution

  • Author

    Bunday, Brian D. ; Al-Mutwali, Imad

  • Author_Institution
    B.Sc., Ph.D., F.I.M.A., F.S.S.; School of Mathematical Sciences; University of Bradford; Richmond Road, Bradford; West Yorkshire BD7 1DP ENGLAND.
  • Issue
    4
  • fYear
    1981
  • Firstpage
    367
  • Lastpage
    369
  • Abstract
    Computer software has been prepared to compute maximum likelihood estimates (MLE) for the parameters of a 2-parameter Weibull distribution using failure and survival time data. The procedure is the direct optimisation of the log-likelihood function by a method that evaluates the variance-covariance matrix of the estimates without a separate calculation of second derivatives.
  • Keywords
    Distributed computing; Indium tin oxide; Maximum likelihood estimation; Noise measurement; Optimization methods; Parameter estimation; Reliability theory; Shape; Statistics; Weibull distribution; Maximum likelihood estimation; Variance-covariance matrix; Weibull distribution;
  • fLanguage
    English
  • Journal_Title
    Reliability, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9529
  • Type

    jour

  • DOI
    10.1109/TR.1981.5221119
  • Filename
    5221119