Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 201-225 |
| Number of pages | 25 |
| Journal | Journal of Modern Applied Statistical Methods |
| Volume | 13 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2014 |
Keywords
- Bimodality
- Lifetime data
- Maximum likelihood estimation
- Mean deviation