Modified weighted least-squares estimators for the three-parameter Weibull distribution

  • Ahmad K
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Abstract

Maximum likelihood estimation for the parameters in the three-parameter Weibull distribution needs an initial value in the iteration scheme for likelihood equations. In certain cases, maximum likelihood estimation can break down for the three-parameter Weibull model, as no local maximum of the likelihood exists. To avoid these difficulties, we suggest a modification of the weighted least-squares estimators for the three-parameter Weibull distribution. The modification presented here is to find an estimate for a threshold parameter for this distribution. © 1994.

Author-supplied keywords

  • Goodness of fit
  • Maximum likelihood
  • Modified weighted least-squares
  • Survival function
  • Three parameter Weibull

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Authors

  • K. E. Ahmad

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