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The beta Weibull distribution was introduced by Famoye et al. (2005) andstudied by these authors. However, they do not give explicit expressions forthe moments. We now derive explicit closed form expressions for the cumulativedistribution function and for the moments of this distribution. We also give anasymptotic expansion for the moment generating function. Further, we discussmaximum likelihood estimation and provide formulae for the elements of theFisher information matrix. We also demonstrate the usefulness of thisdistribution on a real data set.

Explicit expressions for moments of the beta Weibull distribution