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关于以尾部为基础的的缺陷及其对资本分配的应用
1School of Statistics and Data Science, Qufu Normal University, Qufu 273165, China.
Entropy (Basel, Switzerland)
|November 26, 2025
概括
我们介绍了基于尾部的 (STE) 的缺口,这是一个新的风险指标,它结合了预期的缺口和基于尾部的. STE捕捉了尾部风险的幅度和变化,为极端事件提供了更全面的视图.
科学领域:
- 量化金融 量化金融
- 风险管理 风险管理
- 精算科学 精算科学
背景情况:
- 传统的风险指标,如预期缺口 (ES),可能无法完全捕捉尾部风险的变化.
- 基于尾部的 (TE) 提供了对极端损失分布的见解.
- 需要一种综合方法来全面评估尾部风险.
研究的目的:
- 介绍和分析基于尾部的 (STE) 的缺陷,这是一个新的尾部敏感风险函数.
- 调查STE的属性,包括它与现有缺口措施和一致性的关系.
- 将STE应用于资本配置问题,并评估其经验性表现.
主要方法:
- 将 STE 定义为预期缺口 (ES) 和基于尾部的 (TE) 的组合.
- 导出STE的理论性质,包括表征,连贯性条件和单调性.
- 开发基于STE的封闭形式的资本配置公式,用于圆和扩展的斜正态分布.
- 使用保险公司数据进行实证分析.
主要成果:
- 已经证明,STE能够捕捉到尾部风险的幅度和变化.
- 该框架统一了一些现有的缺口措施.
- 建立了足够的条件来实现 STE 的连贯性和单调性.
- 封闭形式的资本分配公式用于特定的分配.
- 经验分析证明了STE的实际实施和表现.
结论:
- STE提供了对尾部风险的可靠和全面的衡量.
- 衍生资本分配规则为金融机构提供了实际的工具.
- 通过考虑损失的大小和变异性,STE增强了风险管理策略.
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