Copulas: A personal view

Journal of Risk and Insurance

Volumn 76, Issue 3, 2009, Pages 639-650

  Embrechts, Paul ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 69449096383     PISSN: 00224367     EISSN: 15396975     Source Type: Journal    
DOI: 10.1111/j.1539-6975.2009.01310.x     Document Type: Conference Paper

References (40)

1. Aas, K., X. K. Dimakos, and A. Øksendal, 2007, Risk Capital Aggregation, Risk Management, 9 : 82 107.
2. Alink, S., 2007, Copulas and Extreme Values. PhD thesis, University of Nijmegen.
3. Balkema, A. A. Guus, and P. Embrechts, 2007, High Risk Scenarios and Extremes. A Geometric Approach (Zurich Lectures in Advanced Mathematics, European Mathematical Society Publishing House).
4. Balkema, A. A., and Y.-C. Qi, 1998, Strictly stable laws for multivariate residual lifetimes, Journal of Mathematical Sciences, 92 : 3873 3880.
5. Bluhm, C., and L. Overbeck, 2007, Structured Credit Portfolio Analysis, Baskets & CDOs (Boca Raton, FL : Chapman & Hall).
6. Dall'Aglio, G., S. Kotz, and G. Salinetti Eds. 1991, Advances in Probability Distributions with Given Marginals: Beyond the Copulas (Dordrecht : Kluwer Academic Publishers).
7. Davies, E. B., 2007, Let Platonism Die, Newsletter of the European Mathematical Society, 64 : 24 25.
8. Degen, M., P. Embrechts, and D. Lambrigger, 2007, The Quantitative Modelling of Operational Risk: Between g-and-h and EVT, ASTIN Bulletin, 37 : 265 291.
9. de Haan, L., and A. Ferreira, 2006, Extreme Value Theory. An Introduction (Berlin : Springer).
10. Denuit, M., J. Dhaene, M. Goovaerts, and R. Kaas, 2005, Actuarial Theory for Dependent Risks. Measures, Orders and Models (Chichester : Wiley).
11. Duchateau, L., and P. Janssen, 2008, The Frailty Model (New York : Springer).
12. Embrechts, P., C. Klüppelberg, and T. Mikosch, 1997, Modelling Extremal Events for Insurance and Finance (Berlin : Springer).
13. Embrechts, P., A. J. McNeil, and D. Straumann, 2002, Correlation and Dependency in Risk Management: Properties and Pitfalls, in : M. Dempster, ed., Risk Management: Value at Risk and Beyond (Cambridge : Cambridge University Press pp. 176 223.
14. Embrechts, P., and J. Nešlehová, 2006, Copulas and Extreme Value Theory, in : Quantitative Financial Risk Management: Fundamentals, Models and Techniques, Chapter IV: Applications to Credit Risk and Market Risk. DVD, Henry Stewart Talks.
15. Embrechts, P., and G. Puccetti, 2006a, Bounds for Functions of Dependent Risks, Finance and Stochastics, 10 : 341 352.
16. Embrechts, P., and G. Puccetti, 2006b, Bounds for Functions of Multivariate Risks, Journal of Multivariate Analysis, 27 : 526 547.
17. Embrechts, P., and G. Puccetti, 2006c, Aggregating Risk Capital, With an Application to Operational Risk, The Geneva Risk and Insurance Review, 31 : 71 90.
18. Genest, C., and A.-C. Favre, 2007, Everything you Always Wanted to Know About Copula Modeling but Were Afraid to Ask, Journal of Hydrologic Engineering, 12 : 347 368.
19. Genest, C., M. Gendron, and M. Bourdeau-Brien, in press, The Advent of Copulas in Finance, European Journal of Finance.
20. Genest, C., K. Ghoudi, and L.-P. Rivest, 1995, A Semiparametric Estimation Procedure of Dependence Parameters in Multivariate Families of Distributions, Biometrika, 82 : 543 552.
21. Genest, C., and R. J. MacKay, 1986, The Joy of Copulas: Bivariate Distributions With Uniform Marginals, The American Statistician, 40 : 280 283.
22. Genest, C., and J. Nešlehová, 2007, A Primer on Copulas for Count Data, ASTIN Bulletin, 37 : 475 515.
23. Genest, C., B. Rémillard, and D. Beaudoin, 2009, Goodness-of-Fit Tests for Copulas: A Review and a Power Study, Insurance: Mathematics and Economics, 44 : 199 213.
24. Hougaard, P., 2001, Analysis of Multivariate Survival Data (New York : Springer).
25. Joe, H., 1997, Multivariate Models and Dependence Concepts (London : Chapman & Hall).
26. Jorion, P., 2007, Value at Risk, 3rd edition (New York : McGraw-Hill).
27. Juri, A., and M. V. Wüthrich, 2002, Copula Convergence Theorems for Tail Events, Insurance: Mathematics and Economics, 30 : 405 420.
28. Kim, G., M. J. Silvapulle, and P. Silvapulle, 2007, Comparisons of Semiparametric and Parametric Methods for Estimating Copulas, Computational Statistics & Data Analysis, 51 : 2836 2850.
29. Klüppelberg, C., and S. I. Resnick, 2009, The Pareto Copula, Aggregation of Risk and the Emperor's Socks, Preprint, Technical University of Munich.
30. Li, D., 2001, On Default Correlation: A Copula Function Approach, Journal of Fixed Income, 9 : 43 54.
31. Lindskog, F., and A. J. McNeil, 2003, Common Poisson Shock Models: Applications to Insurance and Credit Risk Modelling, ASTIN Bulletin, 33 : 209 238.
32. McNeil, A. J., R. Frey, and P. Embrechts, 2005, Quantitative Risk Management: Concepts, Techniques, Tools (Princeton, NJ : University Press).
33. 1-Norm Symmetric Distributions, Annals of Statistics.
34. Mikosch, T., 2006, Copulas: Tales and Facts, Extremes, 9 : 3 20. Discussion, 21-53. Rejoinder 55-62.
35. Müller, A., and D. Stoyan, 2002, Comparison Methods for Stochastic Models and Risks (Chichester : Wiley).
36. Nelsen, R. B., 2006, An Introduction to Copulas, 2nd edition (New York : Springer).
37. Patton, A., 2009, Copula-Based Models for Financial Time Series, in : T. G. Andersen, R. A. Davies, J.-P. Kreiss, and T. Mikosch, eds., Handbook of Financial Time Series Berlin : Springer pp. 767 785.
38. Resnick, S. I., 1987, Extreme Values, Regular Variation, and Point Processes (New York : Springer).
39. Rüschendorf, L., 1985, Construction of Multivariate Distributions With Given Marginals, Annals of the Institute of Statistical Mathematics, 37 : 225 233.
40. Whitehouse, M., 2005, How a Formula Ignited Market That Burned Some Big Investors, The Wall Street Journal, September 12.