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The exponentiated -parent distribution is a generalization of the standard parent distribution. [7] introduced a simple generalization to weibull distribution namely the exponentiated weibull distribution. The new distribution was applied to analyzing bathtub failure rates lifetime data. In this paper, we consider the standard exponentiated inverted weibull distribution (EIW) that generalizes the standard inverted weibull distribution (IW), the new distribution has two shape parameters. The moments, median, survival function, hazard function, maximum likelihood estimators, least-squares estimators, fisher information matrix and asymptotic confidence intervals have been discussed. A real data set is analyzed and it is observed that the (EIW) distribution can provide a better fitting than (IW) distribution.

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