分布的条件是通过copula和极端价值理论对外推算的事件
Zhankun Chen1, Carl Johnsson1, Carmelo D'Agostino1
1Department of Technology & Society, Lund University, Lund, 221 00, Sweden.
MethodsX
|December 6, 2024
概括
本研究引入了一种使用Copula和极端价值理论来建模道路用户互动的新方法. 它解决了估计近距离分布的挑战,以改善交通安全分析.
科学领域:
- 交通安全 交通安全 交通安全
- 可能性理论概率理论.
- 统计建模 统计建模
背景情况:
- 道路使用者互动涉及相互依存的近距离和速度,通常使用Copula分布建模.
- 估计边际分布的近距离是很困难的,因为多峰直方图.
研究的目的:
- 开发一种可靠的方法来近似交通安全边际分布.
- 为了利用极端价值理论对尾部区域近似的近距离分布.
- 为了使条件分布估计超出观察数据.
主要方法:
- 划分结果空间以应用极端价值理论.
- 使用Copula函数来建模道路用户距离和速度之间的多变量依赖关系.
- 使用极端价值理论来近似尾部分布.
主要成果:
- 提出的方法有效地接近单调密度区域的边际分布.
- 它允许估计条件分布,即使在数据集中缺少特定条件.
- 在模拟极端近距离事件方面表现出更高的准确性.
结论:
- 哥普拉和极端价值理论的整合为交通安全研究提供了强有力的方法.
- 这种方法改善了对道路使用者行为的理解,特别是在关键场景中.
- 能够更准确地评估风险,并制定有针对性的安全干预措施.
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