Distributions of the Ratios of Independent Kumaraswamy Variables and System Reliability Applications
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Abstract:
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.
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Journal title
volume 22 issue 1
pages 11- 15
publication date 2017-12
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