  The Kumaraswamy Inverse Weibull distribution has the ability to model failure
rates that have unimodal shapes and are quite common in reliability and
biological studies. The three-parameter Kumaraswamy Inverse Weibull
distribution with decreasing and unimodal failure rate is introduced. We
provide a comprehensive treatment of the mathematical properties of the
Kumaraswany Inverse Weibull distribution and derive expressions for its moment
generating function and the $r$-th generalized moment. Some properties of the
model with some graphs of density and hazard function are discussed. We also
discuss a Bayesian approach for this distribution and an application was made
for a real data set.
