In: Statistics and Probability
Let T be a Kumaraswamy random variable, and X be a Weibull random variable, the T-X family will be called the Kumaraswamy-Weibull distribution. Using W[F(x)]=F(x). Obtain
(a) both the cdf and pdf of the Kumaraswamy-Weibull distribution.
(b) both the hazard and reverse hazard function Kumaraswamy-Weibull distribution.
(c) the quantile function Kumaraswamy-Weibull distribution.