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• W4319989293 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." @default.
• W4319989293 created "2023-02-11" @default.
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• W4319989293 date "2024-01-01" @default.
• W4319989293 modified "2023-09-30" @default.
• W4319989293 title "Shock models based on renewal processes with matrix Mittag-Leffler distributed inter-arrival times" @default.
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• W4319989293 doi "https://doi.org/10.1016/j.cam.2023.115090" @default.
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