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A goodness-of-fit test for copulas

Prokhorov, Artem (2008): A goodness-of-fit test for copulas. Unpublished.

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Abstract

A new goodness-of-fit test of copulas is proposed. It is based on restrictions on certain elements of the information matrix and so relates to the White (1982) specification test. The test avoids the need to correctly specify and consistently estimate a parametric model for the marginal distributions. It does not involve kernel weighting and bandwidth selection or parametric bootstrap and is relatively simple compared to other available tests.

Item Type:MPRA Paper
Language:English
Subjects:C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods: General > C13 - Estimation
ID Code:9998
Deposited By:Artem Prokhorov
Deposited On:14. Aug 2008 04:34
Last Modified:14. Aug 2008 04:34
References:

Breymann, W., A. Dias, and P. Embrechts (2003): Dependence structures for multivariate high-frequency data in fnance," Quantitative Finance, 3, 1

Cameron, A. C., T. Li, P. K. Trivedi, and D. M. Zimmer (2004): \Modelling the dierences in counted outcomes using bivariate copula models with application to mismeasured counts," Econometrics Journal, 7, 566{84.

Chen, X. and Y. Fan (2004): \Estimation of Copula-Based Semiparametric Time Series Models." .

Dobric, J. and F. Schmid (2007): \A goodness of t test for copulas based on Rosenblatt's transformation," Computational Statistics and Data Analysis, 51, 4633{4642.

Embrechts, P., A. Hoing, and A. Juri (2003): \Using copulae to bound the Value-at-Risk for functions of dependent risks," Finance and Stochastics, 7, 145{167.

Embrechts, P., A. McNeil, and D. Straumann (2002): \Correlation and dependence in risk manage- ment: properties and pitfalls," in Risk Management: Value at Risk and Beyond, ed. by M. Dempster, Cambridge: Cambridge University Press, 176{223.

Fermanian, J.-D. (2005): \Goodness-of-t tests for copulas," J. Multivar. Anal., 95, 119{152.

Horowitz, J. L. (1994): \Bootstrap-based critical values for the information matrix test," Journal of Econometrics, 61, 395{411.

Joe, H. (1997): Multivariate models and dependence concepts, vol. 73 of Monographs on Statistics and Applied Probability, Chapman and Hall.

Lancaster, T. (1984): \The Covariance Matrix of the Information Matrix Test," Econometrica, 52, 1051{ 1053.

Nelsen, R. B. (2006): An Introduction to Copulas, vol. 139 of Springer Series in Statistics, Springer, 2 ed.

Newey, W. (1994): \The Asymptotic Variance of Semiparametric Estimators," Econometrica, 62, 1349{1382.

Nikoloulopoulos, A. K. and D. Karlis (2008): \Copula model evaluation based on parametric boot- strap," Computational Statistics and Data Analysis, 52, 3342{3353.

Panchenko, V. (2005): \Goodness-of-t test for copulas," Physica A, 355, 176 (7 pages).

Patton, A. (2006): \Modelling Asymmetric Exchange Rate Dependence," International Economic Review, 47, 527{556.

Prokhorov, A. and P. Schmidt (2008): \Robustness, redundancy and validity of copulas in likelihood models," .

Sklar, A. (1959): \Fonctions de repartition a n dimensions et leurs marges," Publications de l'Institut de Statistique de l'Universite de Paris, 8, 229{231.

Smith, M. D. (2003): \Modelling sample selection using Archimedian copulas," Econometrics Journal, 6, 99{123.

White, H. (1982): \Maximum likelihood estimation of misspecied models," Econometrica, 50, 1{26

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