The COPULA Procedure

Cherubini, U., Luciano, E., and Vecchiato, W. (2004). Copula Methods in Finance. Chichester, UK: John Wiley & Sons.

Devroye, L. (1986). Non-uniform Random Variate Generation. New York: Springer-Verlag. http://luc.devroye.org/rnbookindex.html.

Fisher, N. I., and Switzer, P. (2001). “Graphical Assessment of Dependence: Is a Picture Worth 100 Tests?” American Statistician 55:233–239.

Galiani, S. S. (2003). Copula Functions and Their Application in Pricing and Risk Managing Multiname Credit Derivative Products. Master’s thesis, King’s College London. http://www.defaultrisk.com/pp_crdrv_41.htm.

Genest, C., Ghoudi, K., and Rivest, L. P. (1995). “A Semiparametric Estimation Procedure of Dependence Parameters in Multivariate Families of Distributions.” Biometrika 82:543–552.

Hofert, M. (2011). “Efficiently Sampling Nested Archimedean Copulas.” Computational Statistics and Data Analysis 55:57–70.

Joe, H. (1997). Multivariate Models and Dependence Concepts. London: Chapman & Hall.

Joe, H., and Xu, J. (1996). The Estimation Method of Inference Functions for Margins for Multivariate Models. Technical Report 166, University of British Columbia.

Marshall, A. W., and Olkin, I. (1988). “Families of Multivariate Distributions.” Journal of the American Statistical Association 83:834–841.

McNeil, A., Frey, R., and Embrechts, P. (2005). Quantitative Risk Management: Concepts, Techniques, and Tools. Princeton, NJ: Princeton University Press.

McNeil, A. J. (2008). “Sampling Nested Archimedean Copulas.” Journal of Statistical Computation and Simulation 78:567–581.

Mendes, B. V. M., de Melo, E. F. L., and Nelsen, R. B. (2007). “Robust Fits for Copula Models.” Communications in Statistics—Simulation and Computation 36:997–1008.

Nelsen, R. B. (2006). An Introduction to Copulas. 2nd ed. New York: Springer.

Nolan, J. P. (2010). Stable Distributions: Models for Heavy Tailed Data. Boston: Birkhäuser.

Rüschendorf, L. (2009). “On the Distributional Transform, Sklar’s Theorem, and the Empirical Copula Process.” Journal of Statistical Planning and Inference 11:3921–3927.

Savu, C., and Trede, M. (2010). “Hierarchies of Archimedean Copulas.” Quantitative Finance 10:295–304.

Sklar, A. (1959). “Fonctions de répartition à n dimensions et leurs marges.” Publications de l’Institut de Statistique de L’Université de Paris 8:229–231.

Wu, F., Valdez, E., and Sherris, M. (2007). “Simulating from Exchangeable Archimedean Copulas.” Communications in Statistics—Simulation and Computation 36:1019–1034.