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应用改进Hill估计计算在险价值

  • 叶五一 ,
  • 缪柏其
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  • 中国科学技术大学统计与金融系, 合肥 230026

收稿日期: 2003-04-03

  修回日期: 2003-06-02

  网络出版日期: 2004-05-10

基金资助

国家自然科学基金 (10071082);教育部博士点基金;中国科学院和中国科学技术大学创新基金资助

Using the Improved Hill Estimator Model to Evaluate VaR

  • YE WuYi ,
  • MIAO BaiQi
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  • University of Science and Technology of China, Hefei 230026, China

Received date: 2003-04-03

  Revised date: 2003-06-02

  Online published: 2004-05-10

摘要

通过广义最小二乘法对Hill估计进行改进,估计尾部指数,克服了传统的Hill估计对样本阈值依赖的缺陷,并将此法应用到了在险价值的计算上。由于传统的计算方法带来一些系统误差,对其进行了一些修正,并对中国的上证指数、恒生指数、道琼斯指数、纳斯达克指数,以及日经指数做了在险价值的计算,进行了比较和分析。

本文引用格式

叶五一 , 缪柏其 . 应用改进Hill估计计算在险价值[J]. 中国科学院大学学报, 2004 , 21(3) : 305 -309 . DOI: 10.7523/j.issn.2095-6134.2004.3.003

Abstract

One improved Hill estimator using GLS(general least squares) is introduced, which overcomes some defects of Hill estimator, and is used to evaluate VaR. The VaR of index of Shanghai Composite, Hang seng, Dow Jones, Nasdaq, Nikkei are estimated and compared, and a simple analysis of the result is given.

参考文献

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[4] 周开国. 应用极值理论计算在险价值(VaR). 预测,2002, 21( 3):37-41

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[8] 王春峰. 金融市场风险管理. 天津: 天津大学出版社, 2001.386

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