Some properties of the Gumbel-Weibull distribution including the mean deviations and modes are studied. A detailed discussion of regions of unimodality and bimodality is given. The method of maximum likelihood is proposed for estimating the distribution parameters and a simulation is conducted to study the performance of the method. Three tests are given for testing the significance of a distribution parameter. The applications of Gumbel-Weibull distribution are emphasized. Five data sets are used to illustrate the flexibility of the distribution in fitting unimodal and bimodal data sets.
Al-Aqtash, Raid; Lee, Carl; and Famoye, Felix
"Gumbel-Weibull Distribution: Properties and Applications,"
Journal of Modern Applied Statistical Methods:
2, Article 11.
Available at: http://digitalcommons.wayne.edu/jmasm/vol13/iss2/11