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MSC: 62A10, 93E12
copula; tail dependence; survival copula; reflections of copulas; stock index; returns of index investments; returns of gold investments
We have intensified studies of reflections of copulas (that we introduced recently in [6]) and found that their convex combinations exhibit potentially useful fitting properties for original copulas of the Normal, Frank, Clayton and Gumbel types. We show that these properties enable us to construct interesting models for the relations between investment in stocks and gold.
[1] Berg, D., Bakken, H.: Copula goodness-of-fit tests: A comparative study. Working Paper, University of Oslo and Norwegian Computing Center 2006.
[2] Dobrič, J., Schmid, F.: Testing goodness of fit for parametric families of copulas - Application to financial data. In: Comm. Statist. - Simulation Comput. 34 (2005), 1053-1068. DOI 10.1080/03610910500308685 | MR 2224276 | Zbl 1080.62040
[3] Embrechts, P., Lindskog, F., McNail, A.: Modeling dependence with copulas and applications to risk management. In: Handbook of Heavy Tailed Distributions in Finance (S. Rachev, ed.), Elsevier, Chapter 8, (2001), pp. 329-384.
[4] Genest, C., Favre, A. C.: Everything you always wanted to know about copula modeling but were afraid to ask. J. Hydrologic Engrg. 12 (2007), 4, 347-368. DOI 10.1061/(ASCE)1084-0699(2007)12:4(347)
[5] Joe, H.: Models and Dependence Concepts. Chapman and Hall, London 1997. MR 1462613 | Zbl 0990.62517
[6] Komorník, J., Komorníková, M.: Reflections of copulas and their applications in modelling of financial data. Forum Statisticum Slovacum 1, (2012), 12-19.
[7] Nelsen, R. B.: An introduction to copulas. In: Lecture Notes in Statist. 139, Springer-Verlag, New York 1999. MR 1653203 | Zbl 1152.62030
[8] Ning, C.: Extreme dependence of international stock market. Working Paper, Ryerson University, 2008.
[9] Ning, C.: Dependence structure between the equity market and the foreign exchange market - a copula approach. J. Internat. Money and Finance 29 (2010), 5, 743-759. DOI 10.1016/j.jimonfin.2009.12.002
[10] Patton, A. J.: Modelling asymmetric exchange rate dependence. Internat. Econom. Rev. 47 (2006), 2, 527-556. DOI 10.1111/j.1468-2354.2006.00387.x | MR 2216591
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