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Distributions of the Ratios of Independent Kumaraswamy Variables and System Reliability Applications
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Abstract: (4224 Views) |
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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| Keywords: Kumaraswamy distridution, Gauss hypergeometric function, joint distribution, stress-strength model, system reliabilities. |
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Full-Text [PDF 1641 kb]
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Type of Study: Research |
Subject:
Special
Received: 2016/05/7 | Accepted: 2017/12/16 | Published: 2017/12/16
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