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arXiv 1809.02303econ.EMstat.ME
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时间序列中风险度量的变点检验

Change-Point Testing for Risk Measures in Time Series

Northwestern University, Kellogg School of Management(西北大学凯洛格管理学院);Stanford University, Department of Management Science & Engineering(斯坦福大学管理科学与工程系)

Lin Fan, Junting Duan, Peter W. Glynn, Markus Pelger

AI总结:

本文提出弱相依时间序列中期望短缺等风险度量非参数估计量的多变点检验方法,利用自归一化避免标准误估计,并基于函数中心极限定理,实证用于检测金融收益率尾部不稳定性。

摘要:

我们提出了用于弱相依时间序列中 expected shortfall(期望短缺)及相关风险度量的非参数估计量变点检验的新方法。在一般假设下,我们能够检测时间序列边际分布尾部的一般多重结构变化。自归一化使我们能够避免标准误估计的问题。我们方法的理论基础是函数中心极限定理,我们在较弱假设下建立了该定理。一项关于 S&P 500 和美国国债收益率的实证研究说明了我们的方法在检测和量化金融时间序列尾部不稳定性方面的实际用途。

英文摘要:

We propose novel methods for change-point testing for nonparametric estimators of expected shortfall and related risk measures in weakly dependent time series. We can detect general multiple structural changes in the tails of marginal distributions of time series under general assumptions. Self-normalization allows us to avoid the issues of standard error estimation. The theoretical foundations for our methods are functional central limit theorems, which we develop under weak assumptions. An empirical study of S&P 500 and US Treasury bond returns illustrates the practical use of our methods in detecting and quantifying instability in the tails of financial time series.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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