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Copulas and Applications

Robust Fits for Copula Models

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Pages 997-1017 | Received 11 Feb 2006, Accepted 23 Feb 2007, Published online: 28 Aug 2007

References

  • Ané , T. , Kharoubi , C. ( 2003 ). Dependence structure and risk measure . J. Bus. 76 ( 3 ): 411 – 438 .
  • Capéraà , P. , Fougères , A. L. , Genest , C. ( 1997 ). A nonparametric estimation procedure for bivariate extreme value copulas . Biometrika 84 ( 3 ): 567 – 577 .
  • Capéraà , P. , Fourgères , A. L. , Genest , C. ( 2000 ). Bivariate distributions with given extreme value attractor . J. Multivariate Anal. 72 : 3049 .
  • Deheuvels , P. ( 1979 ). La funcion de dépendance empirique et ses propriétés. Un test non paramétrique d'indépendance . Acad. R. Belg., Bull. Cl. Sci. Série 65 , 5 : 247 – 292 .
  • Deheuvels , P. ( 1981a ). A Kolmogorov–Smirnov type test for independence and multivariate samples . Rev. Roum. Math. Pures et Appl. Tome XXVI , 2 : 213 – 226 .
  • Deheuvels , P. ( 1981b ). A nonparametric test for independence . Publications de l’ISUP 26 : 29 – 50 .
  • Donoho , D. L. ( 1982 ). Breakdown Properties of Multivariate Location Estimators . Ph.D. Thesis . Department of Statistics, Harvard University , Cambridge , MA .
  • Durrleman , V. , Nikeghbali , K. , Roncalli , T. ( 2000 ). Which copula is the right one? . Working paper. Paris: Credit Lyonnais, Groupe de Reserche Opérationnelle .
  • Fermanian , J.-D. ( 2005 ). Goodness of fit tests for copulas . J. Multivariate Anal 95 : 119 – 152 .
  • Fermanian , J.-D. , Scaillet , O. ( 2003 ). Nonparametric estimation of copulas for time series . J. Risk 5 ( 4 ): 25 – 54 .
  • Fermanian , J.-D. , Radulovic , D. , Wegkamp , M. ( 2004 ). Weak convergence of empirical copula processes . Bernoulli 10 : 847 – 860 .
  • Frahm , G. , Junker , M. , Schmidt , R. ( 2004 ). Estimating the tail-dependence coefficient: Properties and pitfalls . Mathemat. Meth. Operat. Res. 55 ( 2 ): 301 – 327 .
  • Frank , M. J. ( 1979 ). On the simultaneous associativity of F(x, y) and x + y − F(x, y) . Aequationes Math 19 : 194 – 226 .
  • Frees , E. W. , Valdez , E. ( 1998 ). Understanding relationships using copulas . North Amer. Actuarial J. 2 : 1 – 25 .
  • Galambos , J. ( 1975 ). Order statistics of samples from multivariate distributions . J. Amer. Satist. Assoc. 70 : 674 – 680 .
  • Genest , C. ( 1987 ). Frank's family of bivariate distributions . Biometrika 74 : 549 – 555 .
  • Genest , C. , Rivest , L.-P. ( 1993 ). Statistical inference procedures for bivariate Archimedean copulas . J. Amer. Statist. Assoc. 88 : 1034 – 1043 .
  • Genest , C. , Ghoudi , K. , Rivest , L.-P. ( 1995 ). A semiparametric estimation procedure of dependence parameters in multivariate families of distributions . Biometrika 82 ( 3 ): 543 – 552 .
  • Ghoudi , K. , Khoudraji , A. , Rivest , L.-P. ( 1998 ). Proprietes statistiques des copules de valeurs extremes bidimensionnelles . Canad. J. Statist. 26 : 187 – 197 .
  • Hüsler , J. , Reiss , R.-D. (1989). Maxima of normal random vectors: between independence and complete dependence. Statist. Probab. Lett. 7:283–286.
  • Joe , H. ( 1993 ). Parametric families of multivariate distributions with given margins . J. Multivariate Anal. 46 : 262 – 282 .
  • Joe , H. ( 1997 ). Multivariate Models and Dependence Concepts . London : Chapman & Hall .
  • Joe , H. , Xu , J. ( 1996 ). The estimation method of inference function for margins for multivariate models . Technical Report No. 166. Department of Statistics , Vancouver : University of British Columbia .
  • Juri , A. , Wüthrich , M. V. ( 2002 ). Tail dependence from a distributional point of view . Preprint . Available at http://www.math.ethz.ch/~juri/publications.html .
  • Kimeldorf , G. , Sampson , A. R. ( 1975 ). Uniform representation of bivariate distributions . Commun Statist 4 : 617 – 627 .
  • Maronna , R. A. , Yohai , V. J. ( 1995 ). The behavior of the Stahel-Donoho robust multivariate estimator . J. Amer. Statist. Assoc. 90 : 330 – 341 .
  • Mendes , B. V. M. ( 2005 ). Asymmetric extreme interdependence in emerging equity markets . Appl. Stochastic Mod. Bus. Industry V21 ( 6 ): 483 – 498 .
  • Morettin , P. A. , Toloi , C. M. C. , Chiann , C. , Miranda , J. C. S. ( 2005 ). Nonlinear wavelet estimation of copulas for time series . Proc. 2nd. Brazilian Conf. Insurance and Finance , Maresias , SP .
  • Nelsen , R. B. ( 2006 ). An Introduction to Copulas . New York : Springer .
  • Rocke , D. M. ( 1996 ). Robustness properties of S-estimators of multivariate location and shape in high dimension . Ann. Statist. 24 ( 3 ): 1327 – 1345 .
  • Rousseeuw , P. J. ( 1985 ). Multivariate estimation with high breakdown point . In: Grossmann , W. , Pflug , G. , Vincze , I. , Wertz , W. , eds. Mathematical Statistics and Applications . Vol. B . Reidel : Dordrecht , pp. 283 – 297 .
  • Rousseeuw , P. J. , Leroy , A. M. ( 1987 ). Robust Regression and Outlier Detection . New York : Wiley .
  • Shih , J. , Louis , T. ( 1995 ). Inferences on the association parameter in copula models for bivariate survival data . Biometrics 51 : 1384 – 1399 .
  • Sklar , A. ( 1959 ). Fonctions de répartition á n dimensions et leurs marges . Publ. Inst. Statist. Univ. Paris 8 : 229 – 231 .
  • Stahel , W. A. ( 1981 ). Breakdown of covariance estimators . Research Report 31. Fachgruppe für Statistik, ETH, Zürich .
  • Stephens , M. A. ( 1974 ). EDF statistics for goodness of fit and some comparisons . J. Amer. Statist. Assoc. 69 : 730 – 737 .
  • Tawn , J. A. ( 1988 ). Bivariate extreme value theory: models and estimation . Biometrika 75 : 397 – 415 .
  • Tsukahara , H. ( 2005 ). Semiparametric estimation in copula models . Canad. J. Statist. 33 ( 3 ): 357 – 375 .
  • Valdez , E. A. ( 2003 ). Modelling Dependence with Copulas in Insurance and Finance . Brussels : KVBA-ARAB Presentation .
  • Wolfowitz , J. ( 1953 ). Estimation by the minimum distance method . Ann. Instit. Statist. Math. 5 : 9 – 23 .
  • Wolfowitz , J. ( 1957 ). The minimum distance method . Ann. Math. Statist. 28 : 75 – 88 .

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