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In: Statistics and Probability

Let T be a Kumaraswamy random variable, and X be a Weibull random variable, the T-X...

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.

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