A Generalization of the Exponentiated Weibull Model with Properties, Copula and Application

In this paper, a new flexible version the exponentiated Weibull model is introduced and studied. The new model generalizes many new and well-known models. We are motivated to introduce and study the new model since its density exhibits various important shapes such as decreasing, unimodal, bimodal, inverse-N shaped, right skewed and left skewed. The failure rate of the proposed model is very attractive to define many special models with different types of failure rates such as decreasing, increasing, unimodal, N-shaped and bathtub shaped hazard rates. Maximum likelihood method is employed to estimate the unknown parameters and we assessed their performances by simulation study. The applicability of the new model is illustrated by a real data set.