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Original Articles

Invariant dependence structure under univariate truncation: the high-dimensional case

Pages 1064-1074 | Received 20 Mar 2011, Accepted 31 Jan 2012, Published online: 07 Mar 2012

References

  • Chavez-Demoulin , V. and Embrechts , P. 2010 . “ An EVT primer for credit risk ” . In Handbook of Credit Derivatives , Edited by: Lipton , A. and Rennie , A. 500 – 532 . New York : Oxford University Press .
  • Donnelly , C. and Embrechts , P. 2010 . The devil is in the tails: Actuarial mathematics and the subprime mortgage crisis . Astin Bull. , 40 ( 1 ) : 1 – 33 . (doi:10.2143/AST.40.1.2049222)
  • McNeil , A. J. , Frey , R. and Embrechts , P. 2005 . Quantitative Risk Management: Concepts, Techniques and Tools , Princeton , NJ : Princeton Series in Finance, Princeton University Press .
  • Juri , A. and Wüthrich , M. V. 2002 . Copula convergence theorems for tail events . Insurance Math. Econom. , 30 ( 3 ) : 405 – 420 . (doi:10.1016/S0167-6687(02)00121-X)
  • Juri , A. and Wüthrich , M. V. 2003 . Tail dependence from a distributional point of view . Extremes , 6 ( 3 ) : 213 – 246 . (doi:10.1023/B:EXTR.0000031180.93684.85)
  • Charpentier , A. and Juri , A. 2006 . Limiting dependence structures for tail events, with applications to credit derivatives . J. Appl. Probab. , 43 ( 2 ) : 563 – 586 . (doi:10.1239/jap/1152413742)
  • Durante , F. , Foschi , R. and Spizzichino , F. 2008 . Threshold copulas and positive dependence . Statist. Probab. Lett. , 78 ( 17 ) : 2902 – 2909 . (doi:10.1016/j.spl.2008.04.013)
  • Durante , F. and Jaworski , P. 2010 . Spatial contagion between financial markets: A copula-based approach . Appl. Stoch. Models Bus. Ind. , 26 : 551 – 564 . (doi:10.1002/asmb.799)
  • Durante , F. and Jaworski , P. Invariant dependence structure under univariate truncation . Statistics , in press, doi: 10.1080/02331888.2010.512977
  • Jágr , V. , Komorníková , M. and Mesiar , R. 2010 . Conditioning stable copulas . Neural Netw. World , 20 ( 1 ) : 69 – 79 .
  • Mesiar , R. , Jágr , V. , Juráňová , M. and Komorníková , M. 2008 . Univariate conditioning of copulas . Kybernetika (Prague) , 44 ( 6 ) : 807 – 816 .
  • Patton , A. J. 2006 . Modelling asymmetric exchange rate dependence . Int. Econom. Rev. , 47 : 527 – 556 . (doi:10.1111/j.1468-2354.2006.00387.x)
  • Cherubini , U. , Luciano , E. and Vecchiato , W. 2004 . Copula Methods in Finance , Chichester : John Wiley & Sons .
  • Durante , F. and Sempi , C. 2010 . “ Copula theory: An introduction, Copula Theory and Its Applications ” . Edited by: Jaworski , P. , Durante , F. , Härdle , W. and Rychlik , T. 3 – 31 . Berlin : Springer . Lecture Notes in Statistics – Proceedings 198
  • Härdle , W. and Okhrin , O. 2010 . De copulis non est disputandum. Copulae: An overview . AStA Adv. Statist. Anal. , 94 ( 1 ) : 1 – 31 . (doi:10.1007/s10182-009-0118-1)
  • Jaworski , P. , Durante , F. , Härdle , W. and Rychlik , T. 2010 . Copula Theory and Its Applications , Edited by: Jaworski , P. , Durante , F. , Härdle , W. and Rychlik , T. Berlin : Springer . Lecture Notes in Statistics – Proceedings 198
  • Joe , H. 1997 . Multivariate Models and Dependence Concepts, Vol. 73 of Monographs on Statistics and Applied Probability , London : Chapman & Hall .
  • Nelsen , R. B. 2006 . An Introduction to Copulas , 2 , New York : Springer . Springer Series in Statistics
  • Ahmadi-Javid , A. 2009 . Copulas with truncation-invariance property . Comm. Statist. Theory Methods , 38 ( 20 ) : 3755 – 3770 . (doi:10.1080/03610920802490073)
  • Oakes , D. 2005 . On the preservation of copula structure under truncation . Canad. J. Statist. , 33 ( 3 ) : 465 – 468 . (doi:10.1002/cjs.5540330310)
  • Durante , F. , Jaworski , P. and Mesiar , R. 2011 . Invariant dependence structures and Archimedean copulas . Stat. Probab. Lett. , 81 : 1995 – 2003 . (doi:10.1016/j.spl.2011.08.018)
  • Durante , F. , Klement , E. P. , Quesada-Molina , J. J. and Sarkoci , P. 2007 . Remarks on two product-like construction for copulas . Kybernetika , 43 : 235 – 244 .
  • Durante , F. , Klement , E. P. and Quesada-Molina , J. J. 2008 . Bounds for trivariate copulas with given bivariate marginals . J. Inequal. Appl. , 2008 : 1 – 9 . Article ID 161537 (doi:10.1155/2008/161537)
  • Quesada-Molina , J. J. and Rodriguez-Lallena , J. A. 1994 . Some advances in the study of the compatibility of three bivariate copulas . J. Ital. Statist. Soc. , 3 : 397 – 417 . (doi:10.1007/BF02589026)
  • Czado , C. 2010 . “ Pair copula constructions of multivariate copulas ” . In Copula Theory and Its Applications , Edited by: Jaworski , P. , Durante , F. , Härdle , W. and Rychlik , T. 93 – 109 . Berlin : Springer . Lecture Notes in Statistics – Proceedings 198
  • Łojasiewicz , S. 1988 . An Introduction to the Theory of Real Functions , 3 , Chichester : Wiley-Interscience, John Wiley & Sons .
  • Engelking , R. 1989 . General Topology , Berlin : Heldermann Verlag .

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