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.
Ahmad, K. E. (1994). Modified weighted least-squares estimators for the three-parameter Weibull distribution. Applied Mathematics Letters, 7(5), 53–56. https://doi.org/10.1016/0893-9659(94)90072-8