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Relative ageing of series and parallel systems: Effects of dependence and heterogeneity among components
Authors:Weiyong Ding  Yiying Zhang
Affiliation:1. School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, China;2. Department of Statistics and Actuarial Science, The University of Hong Kong, Pokfulam Road, Hong Kong
Abstract:The effect of system structure on relative ageing properties of coherent systems has been extensively studied in terms of the increasing [reversed] hazard ratio. In this paper, we investigate the effects of dependence and heterogeneity among components on the relative ageing of series and parallel systems. Numerical examples are provided as illustrations.
Keywords:Relative ageing  Archimedean copula  Heterogeneity  Parallel system  Series system
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