Shock models based on renewal processes with matrix Mittag-Leffler distributed inter-arrival times

Goyal, Dheeraj and Hazra, Nil Kamal and Finkelstein, Maxim (2023) Shock models based on renewal processes with matrix Mittag-Leffler distributed inter-arrival times. Journal of Computational and Applied Mathematics. 115090. ISSN 0377-0427 (https://doi.org/10.1016/j.cam.2023.115090)

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Abstract

Some general shock models are considered under the assumption that shocks occur according to a renewal process with the matrix Mittag-Leffler distributed inter-arrival times. As the class of matrix Mittag–Leffler distributions is wide and well-suited for modeling the heavy tail phenomena, these shock models can be very useful for analysis of lifetimes of systems subject to random shocks with inter-arrival times having heavier tails. Some relevant stochastic properties of the introduced models are described. Finally, two applications, namely, the optimal replacement policy and the optimal mission duration are discussed.

  • Item type:Article
    ID code:83867
    Dates:
    Date
    Event
    25 January 2023
    Published
    25 January 2023
    Published Online
    31 December 2022
    Accepted
    Keywords:fractional homogeneous poisson process, matrix Mittag-Leffler distribution, phase-type distribution, shock models, reliability, Mathematics, Mathematics(all)
    Subjects:Science > Mathematics
    Department:Strathclyde Business School > Management Science
    Depositing user: Pure Administrator
    Date deposited:26 Jan 2023 12:54
    Last modified:02 Jun 2023 14:49
    URI:https://strathprints.strath.ac.uk/id/eprint/83867
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