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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.

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File URL: https://www.uantwerpen.be/images/uantwerpen/container1244/files/TEW%20-%20Onderzoek/Working%20Papers/RPS/2007/RPS-2007-027.pdf
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Bibliographic Info

Paper provided by University of Antwerp, Faculty of Applied Economics in its series Working Papers with number 2007027.

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Length: 15 pages
Date of creation: Jun 2007
Date of revision:
Handle: RePEc:ant:wpaper:2007027

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Postal: Prinsstraat 13, B-2000 Antwerpen
Web page: https://www.uantwerp.be/en/faculties/applied-economic-sciences/
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Related research

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

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References

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  1. Koedijk, Kees & Kole, Erik & Verbeek, Marno, 2006. "Selecting Copulas for Risk Management," CEPR Discussion Papers 5652, C.E.P.R. Discussion Papers.
  2. Robert T. Clemen & Terence Reilly, 1999. "Correlations and Copulas for Decision and Risk Analysis," Management Science, INFORMS, vol. 45(2), pages 208-224, February.
  3. Bouye, Eric & Durlleman, Valdo & Nikeghbali, Ashkan & Riboulet, Gaël & Roncalli, Thierry, 2000. "Copulas for finance," MPRA Paper 37359, University Library of Munich, Germany.
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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. George Messinis, 2009. "Earnings and Languages in the Family: Second-Generation Australians," The Economic Record, The Economic Society of Australia, vol. 85(s1), pages S59-S73, 09.

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