使用双变歇斯底里时间序列模型进行预测,包括不对称的波动性和动态相关性
1Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam.
Entropy (Basel, Switzerland)
|July 29, 2025
概括
本研究引入了金融资产波动性的新模型,捕捉了不对称的波动性和不断变化的相关性. 它使用贝叶斯方法和对准确性进行后期测试来改进风险预测.
科学领域:
- 计量经济学 计量经济学
- 金融建模金融建模
- 统计分析 统计分析
背景情况:
- 全球金融市场表现出复杂的动态,包括不对称的波动和不断变化的相关性.
- 现有的模型往往难以有效地捕捉这些动态行为.
- 准确的风险评估对于金融稳定和投资战略至关重要.
研究的目的:
- 开发和评估一个新的多变异性歇斯底里自行回归 (MHAR) 模型.
- 纳入调节切换和时间变化的延迟,以捕捉不对称波动和条件相关性.
- 提高金融风险指标的估计,如风险价值 (VaR) 和边际预期缺口 (MES).
主要方法:
- 使用适应性马尔科夫链蒙特卡洛 (MCMC) 技术的完全贝叶斯推理方法.
- 整合调节切换和歇斯底里变量以建模动态依赖关系.
- 应用标准后期测试程序来评估VaR预测的准确性.
主要成果:
- 拟议的MHAR模型有效地捕捉了不对称的波动结构和时间变化的条件相关性.
- 贝叶斯推理允许对模型参数和风险指标进行联合估计.
- 对模拟和真实金融数据 (S&P500,BAC,ICE,GS) 的实证分析表明,下行风险动态建模得到了改进.
结论:
- 增强的MHAR模型为分析全球金融资产行为提供了灵活的框架.
- 该方法在预测风险价值和边际预期缺口方面提供了更高的准确性.
- 这种方法有助于更强大的金融风险管理和计量经济学建模.
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