@article {IOPORT.06095746,
    author       = {Al-Saleh, Jamal A. and Agarwal, Satish K.},
    title        = {Extended Weibull type distribution and finite mixture of distributions.},
    year         = {2006},
    journal      = {Statistical Methodology},
    volume       = {3},
    number       = {3},
    issn         = {1572-3127},
    pages        = {224-233},
    publisher    = {Elsevier, Amsterdam},
    doi          = {10.1016/j.stamet.2005.09.010},
    abstract     = {Summary: An extended form of Weibull distributions is suggested which has two shape parameters (m and $\delta $). Introduction of another shape parameter $\delta $ helps to express the extended Weibull distribution not only as an exact form of a mixture of distributions under certain conditions, but also provides extra flexibility to the density function over positive range. The shape of density functions of the extended Weibull type distributions for various values of the parameters is shown which may be of some interest to Bayesians. Certain statistical properties such as hazard rate function, mean residual function, and r\,th moments are defined explicitly. The proposed extended Weibull distribution is used to derive an exact form of two, three and k-component mixture of distributions. With the help of a real data set, the usefulness of mixture Weibull type distributions is illustrated by using a Markov Chain Monte Carlo (MCMC) and Gibbs sampling approach.},
    identifier   = {06095746},
}