Asymptotic behavior of tails and quantiles of quadratic forms of Gaussian vectors
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.
Year of publication: |
2004
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Authors: | Jaschke, Stefan ; Klüppelberg, Claudia ; Lindner, Alexander |
Published in: |
Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 88.2004, 2, p. 252-273
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Publisher: |
Elsevier |
Keywords: | Quadratic forms of Gaussian vectors Tail behavior Delta-gamma method Value-at-Risk Quantile estimation |
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