On distributions of order statistics for absolutely continuous copulas with applications to reliability

  title={On distributions of order statistics for absolutely continuous copulas with applications to reliability},
  author={Piotr Jaworski and Tomasz Rychlik},
Performance of coherent reliability systems is strongly connected with distributions of order statistics of failure times of components. A crucial assumption here is that the distributions of possibly mutually dependent lifetimes of components are exchangeable and jointly absolutely continuous. Assuming absolute continuity of marginals, we focus on properties of respective copulas and characterize the marginal distribution functions of order statistics that may correspond to absolute continuous… CONTINUE READING

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