2003•Communication in Statistics- Theory and MethodsRequires access

On the Exponentiated Weibull Distribution

Manal Mohamed Nassar, Fathy H. Eissa

Abstract

The important extension of the Weibull family—the exponentiated Weibull distribution—is reviewed with various new statistical measures. An explicit expression for the mode is derived and a comparison between the authors'and Mudholkar and Hutson's results are tabulated for various values of the parameters of the distribution. A general formula for the mean residual life function is obtained.

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Key concepts: Weibull distribution, Exponentiated Weibull distribution, Mathematics, Statistics, Weibull modulus, Residual, Extension (predicate logic), Distribution (mathematics)