Abstract
This paper studies series and parallel systems with mutually statistically independent and heterogeneous component lifetimes. The system with homogeneous component lifetimes is proved to age relatively faster than that with component lifetimes following the proportional hazard rates (reversed hazard rates) model in terms of the reversed hazard rate (hazard rate). Sufficient conditions for the relative ageing order on systems with component lifetimes belonging to a scale family are developed as well.
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