Additive Weibull distribution combining two Weibull distributions was proposed by Xie and Lai [1]. In this
paper, we propose a generalization of this distribution which is called exponentiated additive Weibull distribution. It includes a set of exponentiated distributions such as modified generalized linear failure rate, exponentiated Weibull and exponentiated exponential distributions in addition to some widely well known distributions such as additive Weibull, modified Weibull distributions, among others. It represents a flexible model
for reliability analysis such as reliability engineering, firmware reliability, decision-making reliability, and cost
analysis. Some statistical properties of the new distribution are presented. The estimation of five parameters by
maximum likelihood is studied and the observed information matrix is computed. Finally, three real data sets are
used to compare the proposed distribution to five of its sub-models. The results showed that the new distribution
provides a better fit than its sub-models.