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UPA Perpustakaan Universitas Jember

Sharp inequalities for quantiles of system lifetime distributions from failure-dependent proportional hazard model

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We consider coherent systems with components whose exchangeable life-
time distributions come from the failure-dependent proportional hazard model, i.e., the
consecutive failures satisfy the assumptions of the generalized order statistics model.
For a fixed system and given failure rate proportion jumps, we provide sharp bounds
on the deviations of system lifetime distribution quantiles from the respective quan-
tiles of single component nominal and actual lifetime distributions. The bounds are
expressed in the scale units generated by the absolute moments of various orders of
the component lifetime centered about the median of its distribution.

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