In this chapter, the mode of the exponentiated Weibull-exponential distribution (EWED) is studied. For some parameter values, the EWED can be unimodal or bimodal and the region of the bimodality is obtained. The maximum likelihood estimation, the least squares estimation, and the weighted least squares estimation methods are used to estimate the parameters of EWED and a simulation study is carried out to assess their performance. For discriminating between EWED and the Weibull distribution, a simulation study is conducted to evaluate the performance of three tests. Three real data sets are fitted to the EWED and the results are compared to some existing distributions. The EWED is found to be flexible for fitting highly skewed and symmetric data, and for capturing long tails very well.
|Number of pages||22|
|Journal||Journal of Applied Statistical Science|
|State||Published - 2013|
- Mean deviation
- Simulation study