A lifetime distribution motivated by parallel and series structures

M. Goldoust, S. Rezaei, Y. Si, S. Nadarajah

    Research output: Contribution to journalArticlepeer-review


    A new three-parameter distribution with decreasing, increasing, and bathtub-shaped hazard rates obtained by compounding geometric, power series, and exponential distributions is introduced. It includes some well-known distributions as particular cases. Various mathematical properties of the new distribution as well as details of the maximum likelihood estimation and a sensitivity analysis for its parameters are presented. Finally, two real data applications are presented.

    Original languageEnglish
    Pages (from-to)1-21
    Number of pages21
    JournalCommunications in Statistics - Theory and Methods
    Early online date5 Jul 2017
    Publication statusPublished - 2017


    • Estimation
    • Exponential distribution
    • Geometric distribution
    • Power series distribution.


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