Random Sum of Mixtures of Sum of Bivariate Exponential Distributions
Abd El-Moneim A.M. Teamah & Ahmed M.T. Abd El-Bar
Journal of Mathematics and Statistics, Volume 5, Issue 4, pp. 270–275 · doi.org/10.3844/jmssp.2009.270.275
Abstract
Problem statement: The distributions of R = X+Y and W = X/(X+Y), where X and Y follow Lawrance and Lewis`s bivariate exponential distribution, is generalized. Approach: In this research we found mixtures of sum of bivariate exponential random variables. Results: Also we calculated the probability density function (pdf) of the random sum of mixtures of sum of bivariate exponential random variables. Conclusion/Recommendations: In this study we investigated the pdf of random sum of mixtures of sum of bivariate exponential random variables.
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Teamah, A. E. A. & El-Bar, A. M. A. (2009). Random Sum of Mixtures of Sum of Bivariate Exponential Distributions. Journal of Mathematics and Statistics, 5(4), 270–275. https://doi.org/10.3844/jmssp.2009.270.275
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