Author(s)

Soumaya Ghnimi¹, Soufiane Gasmi²

¹Faculty of Sciences of Tunis, University of Tunis El Manar, Tunis, Tunisia.
²Tunis National Higher School of Engineering, University of Tunis, Tunis, Tunisia.

Proposed by the Swedish engineer and mathematician Ernst Hjalmar Waloddi Weibull (1887-1979), the Weibull distribution is a probability distribution that is widely used to model lifetime data. Because of its flexibility, some modifications of the Weibull distribution have been made from several researches in order to best adjust the non-monotonic shapes. This paper gives a study on the performance of two specific modifications of the Weibull distribution which are the exponentiated Weibull distribution and the additive Weibull distribution.

Exponentiated Weibull Distribution, Additive Weibull Distribution, Maximum Likelihood Estimation, Kolmogorov-Smirnov Test, Simulation

Ghnimi, S. and Gasmi, S. (2014) Parameter Estimations for Some Modifications of the Weibull Distribution. Open Journal of Statistics, 4, 597-610. doi: 10.4236/ojs.2014.48056.