Statistics of the three-parameter Weibull distribution

The authors consider the estimation of the parameters of the three-parameter Weibull distribution, with particular emphasis on the unknown endpoint of the distribution. They summarize recent results on the asymptotic behaviour of maximum likelihood estimators. The authors continue with an example in which maximum likelihood and Bayesian estimators are compared. They conclude that there are practical advantages to the Bayesian approach, but the study also suggests ways in which the maximum likelihood analysis may be improved.