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On conditional residual lifetimes of coherent systems consisting of components with discrete lifetimes

Abstract

In this paper, we consider a coherent system composed of components whose lifetimes are independent and identically discretely distributed random variables. We study several aging and stochastic properties of the conditional residual lifetime of the system under the condition that some of its components have failed by time t. Moreover, we compare the conditional residual lifetimes of two coherent systems by using various stochastic orders.

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Acknowledgements

I would like to express my sincere thanks to two anonymous referees for their constructive comments and suggestions which improved the presentation of the paper.

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Correspondence to Krzysztof Jasiński.

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Jasiński, K. On conditional residual lifetimes of coherent systems consisting of components with discrete lifetimes. Metrika (2022). https://doi.org/10.1007/s00184-022-00871-4

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  • DOI: https://doi.org/10.1007/s00184-022-00871-4

Keywords

  • Coherent systems
  • Residual lifetime
  • Discrete lifetime distribution
  • Order statistics
  • Stochastic orders

Mathematics Subject Classification

  • 90B25
  • 60K10
  • 60E15