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Showing 1 results for Random Shocks.
Hadhal Hatem Mohmmed Al-Khazraji, Isaac Almasi, Ghobad Saadat Kia, Volume 20, Issue 2 (3-2027)
Abstract
This paper investigates the hazard rate order in fail-safe systems comprising multiple-outlier scale components subject to random shocks. Under certain conditions, we first establish that increasing the survival probabilities of components against shocks improves the system in the hazard rate sense. We then demonstrate that an balanced allocation of component counts, in the sense of majorization of the size vector, can serve as an effective strategy for enhancing the reliability of such systems. Finally, we examine the effect of simultaneous changes in scale parameters and shock probabilities on the hazard rate order within a two-outlier model. Practical interpretations and potential applications of the derived results are also discussed.
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