马歇尔-奥尔金分布系列的新结果

Pub Date : 2024-08-14 DOI:10.1515/ms-2024-0075

Emilio Gómez-Déniz, M. E. Ghitany, D. K. Al-Mutairi

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引用次数: 0

摘要

马歇尔-奥尔金概率分布族是概率分布领域众多研究成果的灵感来源。在本文中，我们介绍了该族的几个新特性。我们尤其关注随机阶数、应力强度可靠性、洛伦兹曲线和莱姆胡勒曲线、复利和综合尾分布。最后还介绍了与洛伦兹曲线和毁坏理论有关的两个应用。

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New results for the Marshall-Olkin family of distributions

The Marshall-Olkin family of probability distributions has been the inspiration of numerous research publications in the field of probability distributions. In this paper, we present several new properties of this family. In particular, we focus on stochastic orders, stress-strength reliability, Lorenz and the Leimkhuler curves, compounding, and integrated tail distribution. Two applications related to Lorenz curves and ruin theory are finally presented.

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