@article {10.3844/jmssp.2009.270.275, article_type = {journal}, title = {Random Sum of Mixtures of Sum of Bivariate Exponential Distributions}, author = {Teamah, Abd El-Moneim A.M. and El-Bar, Ahmed M.T. Abd}, volume = {5}, year = {2009}, month = {Dec}, pages = {270-275}, doi = {10.3844/jmssp.2009.270.275}, url = {https://thescipub.com/abstract/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.}, journal = {Journal of Mathematics and Statistics}, publisher = {Science Publications} }