TY - JOUR AU - Teamah, Abd El-Moneim A.M. AU - El-Bar, Ahmed M.T. Abd PY - 2009 TI - Random Sum of Mixtures of Sum of Bivariate Exponential Distributions JF - Journal of Mathematics and Statistics VL - 5 IS - 4 DO - 10.3844/jmssp.2009.270.275 UR - https://thescipub.com/abstract/jmssp.2009.270.275 AB - 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.