Distributions of the Ratios of Independent Kumaraswamy Variables and System Reliability Applications

‎In this article‎, ‎first of all‎, ‎the Kumaraswamy distribution is introduced‎. ‎Then‎, ‎the joint and marginal distributions of W = X1/X2 and T = X1/X1+X2 where X1 and X2 are independent Kumaraswamy random variables‎, ‎are obtained and the moments of these random variables are computed‎. ‎The distribution of random variables  W  and T  can be used in reliability studies and statistical models such as stress-strength‎.