The Beta Extended Weibull Family

We introduce the beta extended Weibull family of distributions which
contains as special sub-models some important distributions discussed in the literature, such as the generalized modified Weibull, beta Weibull, beta exponentiated Weibull,
beta exponential, beta modified Weibull and Weibull distributions, among
several others. New distributions are proposed as members of this
family, for example, the beta XTG, beta log-Weibull,
beta Chen and beta Gompertz distributions.
We derive the moments and the moment generating function of the new family.
Maximum likelihood estimation is proposed for estimating the model parameters.
We calculate the observed information matrix. Some new distributions are
used to improve the analysis of the Aarset's data.