• DocumentCode
    811220
  • Title

    Accuracy of approx confidence bounds using censored Weibull regression data from accelerated life tests

  • Author

    Vander Wiel, S.A. ; Meeker, William Q.

  • Author_Institution
    Dept. of Stat., Iowa State Univ., Ames, IA, USA
  • Volume
    39
  • Issue
    3
  • fYear
    1990
  • fDate
    8/1/1990 12:00:00 AM
  • Firstpage
    346
  • Lastpage
    351
  • Abstract
    For censored Weibull regression data arising from typical accelerated life tests (ALTs), the performance of small-sample normal-theory confidence intervals is summarized by three points: (1) they have highly asymmetric error rates; (2) they can be extremely anti-conservative; and (3) these effects worsen when higher confidence levels are used. Likelihood-ratio-based confidence intervals have much more symmetric error rates which are not as extremely anti-conservative as normal-theory intervals can be. For typical ALTs, likelihood-ratio-based confidence intervals are better than those based on asymptotic normal theory. Likelihood-ratio-based confidence intervals require more computation than intervals based on the asymptotic normality of the maximum-likelihood estimators. The resource spent on computing is, however, usually very small compared to the other costs involved in an ALT
  • Keywords
    life testing; parameter estimation; reliability theory; statistical analysis; accelerated life tests; approximate confidence bounds; asymmetric error rates; asymptotic normal theory; censored Weibull regression data; likelihood-ratio-based confidence intervals; maximum-likelihood estimators; reliability; symmetric error rates; Acceleration; Costs; Data analysis; Error analysis; Life estimation; Life testing; Maximum likelihood estimation; Statistical analysis; Stress; Tellurium;
  • fLanguage
    English
  • Journal_Title
    Reliability, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9529
  • Type

    jour

  • DOI
    10.1109/24.103016
  • Filename
    103016