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Multivariate stochastic comparisons of sequential order statistics with non-identical components

Author

Listed:
  • Tanmay Sahoo

    (Indian Institute of Technology Jodhpur)

  • Nil Kamal Hazra

    (Indian Institute of Technology Jodhpur)

  • Narayanaswamy Balakrishnan

    (McMaster University)

Abstract

Sequential order statistics (SOS) are useful tools for modeling the lifetimes of systems wherein the failure of a component has a significant impact on the lifetimes of the remaining surviving components. The SOS model is a general model that contains most of the existing models for ordered random variables. In this paper, we consider the SOS model with non-identical components and then discuss various univariate and multivariate stochastic comparison results in both one-and two-sample scenarios.

Suggested Citation

  • Tanmay Sahoo & Nil Kamal Hazra & Narayanaswamy Balakrishnan, 2024. "Multivariate stochastic comparisons of sequential order statistics with non-identical components," Statistical Papers, Springer, vol. 65(7), pages 4365-4404, September.
    • Handle: RePEc:spr:stpapr:v:65:y:2024:i:7:d:10.1007_s00362-024-01558-w
    DOI: 10.1007/s00362-024-01558-w
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    References listed on IDEAS

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