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

  • Tanmay Sahoo,
  • Nil Kamal Hazra,
  • Narayanaswamy Balakrishnan

摘要

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.