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On relative ageing of coherent systems with dependent identically distributed components

  • Nil Kamal Hazra (a1) and Neeraj Misra (a2)

Abstract

Relative ageing describes how one system ages with respect to another. The ageing faster orders are used to compare the relative ageing of two systems. Here, we study ageing faster orders in the hazard and reversed hazard rates. We provide some sufficient conditions for one coherent system to dominate another with respect to ageing faster orders. Further, we investigate whether the active redundancy at the component level is more effective than that at the system level with respect to ageing faster orders, for a coherent system. Furthermore, a used coherent system and a coherent system made out of used components are compared with respect to ageing faster orders.

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Corresponding author

*Postal address: Department of Mathematics, Indian Institute of Technology Jodhpur, Karwar-342037, India. Email address: nilkamal.nilu@gmail.com
**Postal address: Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur 208016, India.

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On relative ageing of coherent systems with dependent identically distributed components

  • Nil Kamal Hazra (a1) and Neeraj Misra (a2)

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