  This paper introduces a new generalization of the power generalized Weibull
distribution called the generalized power generalized Weibull distribution.
This distribution can also be considered as a generalization of Weibull
distribution. The hazard rate function of the new model has nice and flexible
properties and it can take various shapes, including increasing, decreasing,
upside-down bathtub and bathtub shapes. Some of the statistical properties of
the new model, including quantile function, moment generating function,
reliability function, hazard function and the reverse hazard function are
obtained. The moments, incomplete moments, mean deviations and Bonferroni and
Lorenz curves and the order statistics densities are also derived. The model
parameters are estimated by the maximum likelihood method. The usefulness of
the proposed model is illustrated by using two applications of real-life data.
