A copula test space model how to avoid the wrong copula choice
Frederik Michiels; Ann De Schepper
Kybernetika (2008)
- Volume: 44, Issue: 6, page 864-878
- ISSN: 0023-5954
Access Full Article
topAbstract
topHow to cite
topMichiels, Frederik, and De Schepper, Ann. "A copula test space model how to avoid the wrong copula choice." Kybernetika 44.6 (2008): 864-878. <http://eudml.org/doc/33970>.
@article{Michiels2008,
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, and we present a complete overview of bivariate test spaces for all possible situations. The practical use will be illustrated by means of a numerical application based on an illustrative portfolio containing the S&P 500 Composite Index, the JP Morgan Government Bond Index and the NAREIT All index.},
author = {Michiels, Frederik, De Schepper, Ann},
journal = {Kybernetika},
keywords = {copula; Kendall’s tau; goodness-of-fit; copula test space; associated copulas; Kendall's tau; goodness-of-fit; associated copulas},
language = {eng},
number = {6},
pages = {864-878},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A copula test space model how to avoid the wrong copula choice},
url = {http://eudml.org/doc/33970},
volume = {44},
year = {2008},
}
TY - JOUR
AU - Michiels, Frederik
AU - De Schepper, Ann
TI - A copula test space model how to avoid the wrong copula choice
JO - Kybernetika
PY - 2008
PB - Institute of Information Theory and Automation AS CR
VL - 44
IS - 6
SP - 864
EP - 878
AB - 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, and we present a complete overview of bivariate test spaces for all possible situations. The practical use will be illustrated by means of a numerical application based on an illustrative portfolio containing the S&P 500 Composite Index, the JP Morgan Government Bond Index and the NAREIT All index.
LA - eng
KW - copula; Kendall’s tau; goodness-of-fit; copula test space; associated copulas; Kendall's tau; goodness-of-fit; associated copulas
UR - http://eudml.org/doc/33970
ER -
References
top- Aas K., Modeling the dependence structure of financial assets: A survey of four copulas, Working paper Norwegian computing centre, SAMBA/22/044 (2004)
- Aas K., Czado C., Frigessi, A., Bakken H., Pair-copula constructions of multiple dependence, Insurance: Mathematics and Economics. In press, 2007, doi:10.1016/j.insmatheco.2007.02.001 Zbl1165.60009
- Abid F., Naifar N., The impact of stock returns volatility on credit default swap rates: A copula study (2005), available at SSRN: http:--ssrn, com/abstract=726726 MR2192421
- Alsina C., Frank M. J., Schweizer B., Associative Functions, World Scientific, Singapore 2006 Zbl1100.39023MR2222258
- Andersen P. K., Ekstrom C. T., Klein J. P., Shu, Y., Zhang M., 10.1002/bimj.200410163, Biometrical J. 47 (2005), 6, 815–826 MR2221920DOI10.1002/bimj.200410163
- Ané T., Kharoubi C., Dependence structure and risk measure, J. Business 76 (2003), 3, 441–438
- Bacigal T., Komorníková M., Fitting Archimedean copulas to bivariate geodetic data, In: Proc. COMPSTAT, 2006, pp. 649–656
- Berg D., Aas K., Models for construction of multivariate dependence: A comparison study (2007), Unpublished paper, available at http://www.danielberg.no/publications/highdim.pdf
- Bouyé E., Durrleman V., Nikeghbali A., Riboulet, G., Roncalli T., Copulas for finance: A reading guide and some applications, Working paper Groupe de recherche Opérationelle Crédit Lyonnais 2000
- Cherubini U., Luciano, E., Vecchiato W., Copula Methods in Finance, Wiley, New York 2004 Zbl1163.62081MR2250804
- Clemen R. T., Reilly T., 10.1287/mnsc.45.2.208, Management Sci. 45 (1999), 208–224 (1999) Zbl1231.91166DOI10.1287/mnsc.45.2.208
- Matteis R. De, Fitting Copulas to Data, Diploma Thesis, 2001
- Denuit M., Scaillet O., 10.1093/jjfinec/nbh017, J. Financial Econometrics 2 (2004), 3, 422–450 DOI10.1093/jjfinec/nbh017
- Dobric J., Schmid F., 10.1080/03610910500308685, Commun. Statist.: Simulation and Computation 34 (2005), 4, 1053–1068 Zbl1080.62040MR2224276DOI10.1080/03610910500308685
- Dobric J., Schmid F., 10.1016/j.csda.2006.08.012, Comput. Statis. Data Anal. 51 (2007), 4633–4642 MR2364470DOI10.1016/j.csda.2006.08.012
- Durrleman V., Nikeghbali, A., Roncalli T., Which copula is the right one? Working paper Groupe de recherche Opérationelle Crédit Lyonnais 200
- Fang H., Fang, K., Kotz S., 10.1006/jmva.2001.2017, J. Multivariate Anal. 82 (2002), 1–16 Zbl1002.62016MR1918612DOI10.1006/jmva.2001.2017
- Fermanian J. D., 10.1016/j.jmva.2004.07.004, J. Multivariate Anal. 95 (2005), 1, 119–152 Zbl1095.62052MR2164126DOI10.1016/j.jmva.2004.07.004
- Frees E. W., Valdez E. A., 10.1080/10920277.1998.10595667, North American Actuarial J. 2 (1998), 1, 1–25 (1998) Zbl1081.62564MR1988432DOI10.1080/10920277.1998.10595667
- Genest C., Favre A., 10.1061/(ASCE)1084-0699(2007)12:4(347), J. Hydrologic Engrg. 12 (2007), 4, 347–368 DOI10.1061/(ASCE)1084-0699(2007)12:4(347)
- Genest C., Rivest L., 10.1080/01621459.1993.10476372, J. Amer. Statist. Assoc. 88 (1993), 1034–1043 (1993) Zbl0785.62032MR1242947DOI10.1080/01621459.1993.10476372
- Genest C., MacKay R. J., 10.2307/3314660, Canad. J. Statist. 14 (1986), 2, 145–159 (1986) Zbl0605.62049MR0849869DOI10.2307/3314660
- Hofert M., 10.1016/j.csda.2008.05.019, Comput. Statist. Data Anal. 52 (2008), 12, 5163–5174 MR2526583DOI10.1016/j.csda.2008.05.019
- Joe H., 10.1016/0047-259X(90)90013-8, J. Multivariate Anal. 35 (1990), 12–30 (1990) Zbl0741.62061MR1084939DOI10.1016/0047-259X(90)90013-8
- Joe H., Multivariate Models and Dependence Concepts, Chapman and Hall, London 1997 Zbl0990.62517MR1462613
- Klement E. P., Mesiar, R., Pap E., Invariant copulas, Kybernetika 38 (2002), 275–285 MR1944309
- Kole E., Koedijk K. C. G., Verbeek M., 10.1016/j.jbankfin.2006.09.010, J. Banking and Finance 31 (2007), 2405–2423 DOI10.1016/j.jbankfin.2006.09.010
- Lindskog F., McNeil A. J., Schmock U., Kendall’s tau for Elliptical Distributions, Technical Report, Risklab, ETH Zürich 2001
- McNeil A. J., 10.1080/00949650701255834, J. Statist. Comput. Simul. 78 (2008), 6, 567–581 MR2516827DOI10.1080/00949650701255834
- Nelsen R. B., 10.1080/10485259308832574, J. Nonparametric Statist. 3 (1993), 95–101 (1993) MR1272164DOI10.1080/10485259308832574
- Nelsen R. B., Nonparametric measures of multivariate Aassociation, In: Distributions with Fixed Marginals and Related Topics 1996, pp. 223–232 (1996) MR1485534
- Nelsen R. B., An Introduction to Copulas, Second edition. Springer-Verlag, New York 2006 Zbl1152.62030MR2197664
- Savu C., Trede M., 10.1080/14697680701207639, Quantitative Finance 8 (2008), 2, 109–116 Zbl1134.91556MR2479754DOI10.1080/14697680701207639
- Sklar A., Fonctions de repartition dimensions et leur marges, Publ. Inst. Statist. Univ. Paris 8 (1959), 229–231 (1959) MR0125600
- Smith M. D., 10.1111/1368-423X.00101, The Econometrics Journal 6 (2003), 1, 99–123 Zbl1037.62047MR1992394DOI10.1111/1368-423X.00101
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.