• DocumentCode
    1344005
  • Title

    The Burr Distribution as a Failure Model from a Bayesian Approach

  • Author

    Papadopoulos, Alex S.

  • Author_Institution
    Department of Mathematics; University of North Carolina at Charlotte; Charlotte, NC 28223 USA.
  • Issue
    5
  • fYear
    1978
  • Firstpage
    369
  • Lastpage
    371
  • Abstract
    The 2-parameter Burr distribution is introduced as a failure model from a Bayesian approach. Bayesian estimators for the parameter p and reliability function are derived. Two priors are considered when the Bayesian approach is used: gamma and uniform. The Bayesian estimators of p and R(t) were derived in a closed form. Thus the Bayesian estimators are mathematically tractable and easy to use. A hypothetical example shows how the Burr distribution would be used as a failure model.
  • Keywords
    Art; Bayesian methods; Decision theory; Parameter estimation; Probability; Reliability theory; State estimation; Statistical distributions; Tin; Weibull distribution; Bayesian estimators; Burr distribution (2-parameter); Gamma distribution; Maximum likelihood estimators; Uniform distribution;
  • fLanguage
    English
  • Journal_Title
    Reliability, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9529
  • Type

    jour

  • DOI
    10.1109/TR.1978.5220427
  • Filename
    5220427