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Pure Mathematics 2025
FGM Copula下相依异质样本二阶顺序统计量的随机比较
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Abstract:
本文主要研究了FGM Copula相依下随机变量二阶顺序统计量的随机比较，给出了二阶顺序统计量之间普通随机序、增凸序与增凹序关系成立的充分条件，并通过数值例子说明了主要结论。
This paper investigates the stochastic comparison of second-order statistics from dependent random samples with FGM Copula. Sufficient conditions are established on the usual stochastic order, the increasing convex order and the increasing concave order for the second-order statistic. And some numerical examples are provided to illustrate the theoretical results.
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