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Reliability models based on bivariate exponential distributions
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DOI：10.1016/j.probengmech.2005.11.008.png)
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Abstract
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Motivated by reliability applications, we derive the exact distributions of R = X + Y and W = X / (X + Y) and the corresponding moment properties when X and Y follow five flexible bivariate exponential distributions. The expressions turn out to involve several special functions. (c) 2005 Elsevier Ltd. All rights reserved.
Keywords:
bivariate exponential distribution
ratio of random variables
reliability
sum of random variables
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