In this article, a new four-parameter continuous model, called the exponentiated Weibull exponential distribution, is introduced based on exponentiated Weibull-G family (Hassan and Elgarhy, 2016). The new model contains some new distributions as well as some former distributions. Various mathematical properties of this distribution are studied. General explicit expressions for the quantile function, expansion of distribution and density functions, moments, generating function, Rényi and q – entropies, and order statistics are obtained. The estimation of the model parameters is discussed using maximum likelihood method. The practical importance of the new distribution is demonstrated through real data set where we compare it with several lifetime distributions.
Elgarhy, M.; Shakil, M.; and Golam Kibria, B. M.
Exponentiated Weibull-Exponential Distribution with Applications,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 12,
2, Article 5.
Available at: https://digitalcommons.pvamu.edu/aam/vol12/iss2/5