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厚尾分布的极值分位数估计与极值风险测度研究 被引量:17

Extreme Quantile Estimation for Heavy-tailed Distribution and A Study of Extremal Risk Measurement
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摘要 金融数据呈现的厚尾性已达成共识.本文中,我们基于指数回归模型构造了厚尾分布的极值分位数估计,从而得到了VaR的估计公式.作为一个应用,我们得到了上海上证指数和深圳成份指数的VaR的估计值. It is well known that finance data tend to heavy-tailed. In this paper, on a basis of an exponential regression model for log-spacings we propose an extreme quantile estimator of heavy-tailed distribution and attain an estimation of value-at-risk. As an empirical example we consider a value-at-risk calculations for China stock index.
作者 欧阳资生
出处 《数理统计与管理》 CSSCI 北大核心 2008年第1期70-75,共6页 Journal of Applied Statistics and Management
基金 湖南省社会科学基金(编号:05YB95) 湖南省教育厅科研基金(编号:05C562)
关键词 厚尾分布 VAR 极值分位数 heavy-tailed distribution VaR extreme quantile.
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