• DocumentCode
    1344253
  • Title

    k-Sample Maximum Likelihood Ratio Test for Change of Weibull Shape Parameter

  • Author

    Bilikam, J.Edward ; Moore, Albert H. ; Petrick, George

  • Author_Institution
    FMC Corporation; 1105 Coleman Ave.; PO Box 1201; San Jose, CA 95108 USA.
  • Issue
    1
  • fYear
    1979
  • fDate
    4/1/1979 12:00:00 AM
  • Firstpage
    47
  • Lastpage
    50
  • Abstract
    A k-sample maximum likelihood ratio (MLR) test is derived to test equality of shape parameters for 2-parameter Weibull populations. The test is independent of the scale parameters, and the power depends on ratios of the shape parameters. Critical points and power calculations were obtained by Monte Carlo techniques for k = 2. The MLR test is equivalent to the MLR test of scale parameters for the extreme value distribution.
  • Keywords
    Equations; Maximum likelihood estimation; Monte Carlo methods; Reliability theory; Shape; Statistical analysis; Statistical distributions; Testing; Weibull distribution; 2-Parameter Weibull distribution; Extreme value distribution; Maximum likelihood ratio test; Model discrimination; Test of homogeneity; Test of hypothesis;
  • fLanguage
    English
  • Journal_Title
    Reliability, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9529
  • Type

    jour

  • DOI
    10.1109/TR.1979.5220471
  • Filename
    5220471
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1344253