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)
![]() |
Text.
Filename: Goyal_etal_JCAM_2023_Shock_models_based_on_renewal_processes_with_matrix.pdf
Accepted Author Manuscript Restricted to Repository staff only until 25 January 2024. License: ![]() Download (844kB) | Request a copy |
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: DateEvent25 January 2023Published25 January 2023Published Online31 December 2022AcceptedKeywords: 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