Abstract
Motivated by the notion of availability, the exact distribution of the sum of beta random variables is derived under the impact of the environment. A suitable approximation is presented when the exact distribution cannot be identified. Also presented are some characterizations for the gamma distribution.
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Homei, H., Nadarajah, S. On Products and Mixed Sums of Gamma and Beta Random Variables Motivated by Availability. Methodol Comput Appl Probab 20, 799–810 (2018). https://doi.org/10.1007/s11009-017-9591-2
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DOI: https://doi.org/10.1007/s11009-017-9591-2