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Stochastic Comparisons of Two-Units Repairable Systems

Probability 2020-07-08 v2

Abstract

We consider two models of two-units repairable systems: cold standby system and warm standby system. We suppose that the lifetimes and repair times of the units are all independent exponentially distributed random variables. Using stochastic orders we compare the lifetimes of systems under different assumptions on the parameters of exponential distributions. We also consider a cold standby system where the lifetimes and repair times of its units are not necessarily exponentially distributed.

Keywords

Cite

@article{arxiv.1804.03098,
  title  = {Stochastic Comparisons of Two-Units Repairable Systems},
  author = {J. M. Corujo and J. E. Valdés and J. C Laria},
  journal= {arXiv preprint arXiv:1804.03098},
  year   = {2020}
}
R2 v1 2026-06-23T01:18:15.820Z