具有指数相关分量的平行系统的色散和危险率排序

IF 0.7 4区数学 Q3 STATISTICS & PROBABILITY

Statistics & Probability Letters Pub Date : 2025-08-05 DOI:10.1016/j.spl.2025.110514

Ghadah Alomani , Anfal A. Alqefari , Mohamed Kayid

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引用次数: 0

摘要

基于弥散阶数和危险率阶数，找到了用阿基米德联结模型建立其联合分布的异质相关指数随机变量的最大阶统计量的明显下界。我们的研究结果扩展并完善了Amini-Seresht、Khaledi和Izadkhah（统计学家）最近的一项贡献。Probab。Lett. 215(2024), 110242)，通过在方便的条件下对阿基米德copula的生成函数提供更严格的界。

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Dispersive and hazard rate orderings of parallel systems with exponential dependent components

Based on dispersive and hazard rate orders, sharp lower bounds for the maximum order statistic of heterogeneous dependent exponential random variables whose joint distribution is modeled via an Archimedean copula are found. Our results extend and refine a recent contribution by Amini-Seresht, Khaledi, and Izadkhah (Statist. Probab. Lett. 215 (2024), 110242), by providing tighter bounds under convenient conditions on the generator function of the Archimedean copula.

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来源期刊

Statistics & Probability Letters 数学-统计学与概率论

CiteScore

1.60

自引率

0.00%

发文量

173

审稿时长

6 months

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