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A new two parameter distribution is recently propoesd by El-Gohary et al. [8], called as the inverse flexible Weibullextension distribution. In this paper, we propose a new three parameter model by exponentiating the inverse flexible Weibull extension distribution [8]. We called it the exponentiated inverse flexible Weibull extension (EIFW) distribution. Several properties of this distribution have been discussed such as the probability density function, the survival function, the failure rate function and the moments. The maximum likelihood estimators of the parameters are derived. Two real data sets are analyzed using the new model, which show that the new model fits the data better than some other very well known models

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