Abstract
We consider coherent systems with components whose exchangeable lifetime 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 quantiles 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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Acknowledgements
The second author was supported by National Science Centre, Poland, Grant No. 2015/19/B/ST1/03100. The authors thank the anonymous referees and associate editor for valuable comments that allowed them to improve the presentation of the results.
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Burkschat, M., Rychlik, T. Sharp inequalities for quantiles of system lifetime distributions from failure-dependent proportional hazard model. TEST 27, 618–638 (2018). https://doi.org/10.1007/s11749-017-0564-0
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DOI: https://doi.org/10.1007/s11749-017-0564-0