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A copula test space model: How to avoid the wrong copula choice

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  • MICHIELS, Frederik
  • DE SCHEPPER, Ann

Abstract

We introduce and discuss the test space problem as a part of the whole copula fitting process. In particular, we explain how an efficient copula test space can be constructed by taking into account information about the existing dependence. Although our model is developed in a bivariate environment it can be used for higher dimensional copula fitting applications. This is shown on the 3 dimensional dependence structure of an illustrative porfolio containing the S&P 500 Composite Index, the JP Morgan Government Bond Index and the NAREIT All index.

Suggested Citation

  • MICHIELS, Frederik & DE SCHEPPER, Ann, 2007. "A copula test space model: How to avoid the wrong copula choice," Working Papers 2007027, University of Antwerp, Faculty of Applied Economics.
  • Handle: RePEc:ant:wpaper:2007027
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    File URL: https://repository.uantwerpen.be/docman/irua/12ff54/a0ec7a32.pdf
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    References listed on IDEAS

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    1. Kole, Erik & Koedijk, Kees & Verbeek, Marno, 2007. "Selecting copulas for risk management," Journal of Banking & Finance, Elsevier, vol. 31(8), pages 2405-2423, August.
    2. Bouye, Eric & Durlleman, Valdo & Nikeghbali, Ashkan & Riboulet, Gaël & Roncalli, Thierry, 2000. "Copulas for finance," MPRA Paper 37359, University Library of Munich, Germany.
    3. Robert T. Clemen & Terence Reilly, 1999. "Correlations and Copulas for Decision and Risk Analysis," Management Science, INFORMS, vol. 45(2), pages 208-224, February.
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    Cited by:

    1. Frederik Michiels & Ann De Schepper, 2012. "How to improve the fit of Archimedean copulas by means of transforms," Statistical Papers, Springer, vol. 53(2), pages 345-355, May.
    2. MICHIELS, Frederik & DE SCHEPPER, Ann, 2009. "Understanding copula transforms: A review of dependence properties," Working Papers 2009012, University of Antwerp, Faculty of Applied Economics.
    3. George Messinis, 2009. "Earnings and Languages in the Family: Second-Generation Australians," The Economic Record, The Economic Society of Australia, vol. 85(s1), pages 59-73, September.

    More about this item

    Keywords

    Copula; Kendall’s ?; Goodness-of-fit;

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