Goodness-of-fit test for copulas
Copulas are often used in finance to characterize the dependence between assets. However, a choice of the functional form for the copula is an open question in the literature. This paper develops a goodness-of-fit test for copulas based on positive definite bilinear forms. The suggested test avoids the use of plug-in estimators that is the common practice in the literature. The test statistics can be consistently computed on the basis of V-estimators even in the case of large dimensions. The test is applied to a dataset of US large cap stocks to assess the performance of the Gaussian copula for the portfolios of assets of various dimension. The Gaussian copula appears to be inadequate to characterize the dependence between assets.
|Date of creation:||2004|
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- Y. Malevergne & D. Sornette, 2003.
"Testing the Gaussian copula hypothesis for financial assets dependences,"
Taylor & Francis Journals, vol. 3(4), pages 231-250.
- Yannick Malevergne & Didier Sornette, 2003. "Testing the Gaussian copula hypothesis for financial assets dependences," Post-Print hal-00520539, HAL.
- Y. Malevergne & D. Sornette, 2001. "Testing the Gaussian Copula Hypothesis for Financial Assets Dependences," Papers cond-mat/0111310, arXiv.org.
- Y. Malevergne & D. Sornette, 2001. "Testing the Gaussian Copula Hypothesis for Financial Assets Dependences," Finance 0111003, EconWPA.
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- Mark B. Wise & Vineer Bhansali, 2002. "Implications of Correlated Default For Portfolio Allocation To Corporate Bonds," Papers nlin/0209010, arXiv.org.
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