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Asymptotic behavior of tails and quantiles of quadratic forms of Gaussian vectors

Author

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  • Jaschke, Stefan
  • Klüppelberg, Claudia
  • Lindner, Alexander

Abstract

We derive results on the asymptotic behavior of tails and quantiles of quadratic forms of Gaussian vectors. They appear in particular in delta-gamma models in financial risk management approximating portfolio returns. Quantile estimation corresponds to the estimation of the Value-at-Risk, which is a serious problem in high dimension.

Suggested Citation

  • Jaschke, Stefan & Klüppelberg, Claudia & Lindner, Alexander, 2004. "Asymptotic behavior of tails and quantiles of quadratic forms of Gaussian vectors," Journal of Multivariate Analysis, Elsevier, vol. 88(2), pages 252-273, February.
  • Handle: RePEc:eee:jmvana:v:88:y:2004:i:2:p:252-273
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    Cited by:

    1. Sadefo Kamdem, J., 2010. "Sharp estimates for the CDF of quadratic forms of MPE random vectors," Journal of Multivariate Analysis, Elsevier, vol. 101(8), pages 1755-1771, September.

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