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1 results

  • Ordering and ageing properties of developed sequential order statistics governed by the Archimedean copula

  • Part of
  • Tanmay Sahoo, Nil Kamal Hazra
  • Journal:
    Advances in Applied Probability / Volume 56 / Issue 2 / June 2024
    Published online by Cambridge University Press:
    26 June 2023, pp. 464-494
    Print publication:
    June 2024
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  • Developed sequential order statistics (DSOS) are very useful in modeling the lifetimes of systems with dependent components, where the failure of one component affects the performance of remaining surviving components. We study some stochastic comparison results for DSOS in both one-sample and two-sample scenarios. Furthermore, we study various ageing properties of DSOS. We state many useful results for generalized order statistics as well as ordinary order statistics with dependent random variables. At the end, some numerical examples are given to illustrate the proposed results.