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.
CITATION STYLE
Al-Aqtash, R., Lee, C., & Famoye, F. (2014). Gumbel-weibull distribution: Properties and applications. Journal of Modern Applied Statistical Methods, 13(2), 201–225. https://doi.org/10.22237/jmasm/1414815000
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