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<p>In this paper, we discuss stochastic comparisons of two finite mixture models of different heterogeneous geometric distributions with different mixing proportions, in terms of usual stochastic, hazard rate, likelihood ratio and mean residual life orders. Finally, an application to shock models is discussed to illustrate the significance of the results established here.</p>

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Stochastic comparisons of mixtures of heterogeneous geometric distributions associated with shock models

  • 期刊论文

  • 发表日期：

    2026年5月14日

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  • Hamed Lorvand,
  • Ebrahim Amini-Seresht,
  • Narayanaswamy Balakrishnan

摘要

In this paper, we discuss stochastic comparisons of two finite mixture models of different heterogeneous geometric distributions with different mixing proportions, in terms of usual stochastic, hazard rate, likelihood ratio and mean residual life orders. Finally, an application to shock models is discussed to illustrate the significance of the results established here.