Efficient estimation of copula-GARCH models
An iterative (fixed-point) algorithm for the maximum-likelihood estimation of copula-based models that circumvents the need to compute second-order derivatives of the full likelihood function is adapted and examined. The algorithm exploits the structure of copula-based models that yield a natural decomposition of a potentially complicated likelihood function into two parts. The first part is a working likelihood that only involves the parameters of the marginals and the residual part is used to update estimates from the first part. A modified algorithm based on a working likelihood that accounts for some degree of correlation between the marginals is proposed. Compared to the original algorithm based on the working likelihood with the independent correlation, the modified one provides a better approximation to the full likelihood and overcomes convergence difficulties. A numerical example illustrates the efficiency gains of the estimation algorithms in the context of a benchmark copula-GARCH model. The modified algorithm is illustrated by an application to daily returns on two major stock market indices.
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- Fiorentini, Gabriele & Calzolari, Giorgio & Panattoni, Lorenzo, 1996.
"Analytic Derivatives and the Computation of GARCH Estimates,"
Journal of Applied Econometrics,
John Wiley & Sons, Ltd., vol. 11(4), pages 399-417, July-Aug..
- Fiorentini,G. & Calzolari,G. & Panattoni,L., 1995. "Analytic Derivatives and the Computation of Garch Estimates," Papers 9519, Centro de Estudios Monetarios Y Financieros-.
- Andrew J. Patton, 2006. "Estimation of multivariate models for time series of possibly different lengths," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(2), pages 147-173.
- Michael R. King & Dan Segal, 2004. "International Cross-Listing and the Bonding Hypothesis," Staff Working Papers 04-17, Bank of Canada.
- Ma Jun & Nelson Charles R & Startz Richard, 2007.
"Spurious Inference in the GARCH (1,1) Model When It Is Weakly Identified,"
Studies in Nonlinear Dynamics & Econometrics,
De Gruyter, vol. 11(1), pages 1-27, March.
- Jun Ma & Charles Nelson & Richard Startz, 2007. "Spurious Inference in the GARCH(1,1) Model When It Is Weakly Identified," Working Papers UWEC-2006-14-P, University of Washington, Department of Economics, revised Mar 2007.
- Jondeau, Eric & Rockinger, Michael, 2006. "The Copula-GARCH model of conditional dependencies: An international stock market application," Journal of International Money and Finance, Elsevier, vol. 25(5), pages 827-853, August.
- Charles Nelson & Richard Startz, 2004.
"The Zero-Information-Limit Condition and Spurious Inference in Weakly Identified Models,"
UWEC-2004-03-FC, University of Washington, Department of Economics.
- Nelson, Charles R. & Startz, Richard, 2007. "The zero-information-limit condition and spurious inference in weakly identified models," Journal of Econometrics, Elsevier, vol. 138(1), pages 47-62, May.
- Charles Nelson & Richard Startz, 2007. "The Zero-Information-Limit-Condition and Spurious Inference in Weakly Identified Models," Working Papers UWEC-2006-07-P, University of Washington, Department of Economics.
- Bollerslev, Tim, 1986.
"Generalized autoregressive conditional heteroskedasticity,"
Journal of Econometrics,
Elsevier, vol. 31(3), pages 307-327, April.
- Tim Bollerslev, 1986. "Generalized autoregressive conditional heteroskedasticity," EERI Research Paper Series EERI RP 1986/01, Economics and Econometrics Research Institute (EERI), Brussels.
- Ling Hu, 2006. "Dependence patterns across financial markets: a mixed copula approach," Applied Financial Economics, Taylor & Francis Journals, vol. 16(10), pages 717-729.
- Bartram, Sohnke M. & Taylor, Stephen J. & Wang, Yaw-Huei, 2007. "The Euro and European financial market dependence," Journal of Banking & Finance, Elsevier, vol. 31(5), pages 1461-1481, May.
- Sébastien Laurent, 2004. "Analytical Derivates of the APARCH Model," Computational Economics, Society for Computational Economics, vol. 24(1), pages 51-57, 08.
- Peter Xue-Kun Song, 2000. "Multivariate Dispersion Models Generated From Gaussian Copula," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 27(2), pages 305-320.
- Roch, Oriol & Alegre, Antonio, 2006. "Testing the bivariate distribution of daily equity returns using copulas. An application to the Spanish stock market," Computational Statistics & Data Analysis, Elsevier, vol. 51(2), pages 1312-1329, November.
- Song, Peter X.K. & Fan, Yanqin & Kalbfleisch, John D., 2005. "Maximization by Parts in Likelihood Inference," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 1145-1158, December.
- H. D. Vinod & B. D. McCullough, 1999. "The Numerical Reliability of Econometric Software," Journal of Economic Literature, American Economic Association, vol. 37(2), pages 633-665, June.
- H. D. Vinod & B. D. McCullough, 1999. "Corrigenda: The Numerical Reliability of Econometric Software," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1565-1565, December.
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