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On Products and Mixed Sums of Gamma and Beta Random Variables Motivated by Availability

Hazhir Homei and Saralees Nadarajah ()
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Hazhir Homei: University of Tabriz
Saralees Nadarajah: University of Manchester

Methodology and Computing in Applied Probability, 2018, vol. 20, issue 2, 799-810

Abstract: 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.

Keywords: Availability; Beta distribution; Lifetime; 62E99 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s11009-017-9591-2

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