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

Hazhir Homei, Saralees Nadarajah

    Research output: Contribution to journalArticlepeer-review

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    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.

    Original languageEnglish
    Pages (from-to)1-12
    Number of pages12
    JournalMethodology and Computing in Applied Probability
    Early online date6 Sept 2017
    DOIs
    Publication statusPublished - 2017

    Keywords

    • Availability
    • Beta distribution
    • Lifetime

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