Orderings of fail-safe systems with distribution-free components under random shocks

Document Type : Original Scientific Paper

Authors

1 Department of Statistics‎, ‎Razi University‎, ‎Kermanshah‎, ‎Iran

2 Department of Basic Science‎, ‎Kermanshah University of Technology‎, ‎Kermanshah‎, ‎Iran‎

Abstract

Often‎, ‎reliability systems suffer shocks from external stress factors‎, ‎stressing the system at random‎. ‎These random shocks may have non-ignorable effects on the reliability of the system‎. ‎In this paper‎, ‎we provide sufficient and necessary conditions on components' lifetimes and their survival probabilities from random shocks for comparing the lifetimes of two fail-safe systems in two cases‎: ‎(i) when components are independent‎, ‎and then (ii) when components are dependent‎. ‎We then apply the results for some distribution-free random variables with possibly different parameters to illustrate the established results.

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References

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Journal of Statistical Modelling: Theory and Applications
Volume 4, Issue 1
January 2023
Pages 107-127

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History

  • Receive Date: 27 October 2023
  • Revise Date: 13 March 2024
  • Accept Date: 16 March 2024

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