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Normality test for multivariate conditional heteroskedastic dynamic regression models

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  • Lee, Sangyeol
  • Ng, Chi Tim
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    Abstract

    In this paper, we study the Jarque-Bera test for the normality of the innovations of multivariate GARCH models. It is shown that the test is distribution free and its limiting null distribution is a chi-square distribution.

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    Bibliographic Info

    Article provided by Elsevier in its journal Economics Letters.

    Volume (Year): 111 (2011)
    Issue (Month): 1 (April)
    Pages: 75-77

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    Handle: RePEc:eee:ecolet:v:111:y:2011:i:1:p:75-77

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    Web page: http://www.elsevier.com/locate/ecolet

    Related research

    Keywords: Jarque-Bera test Normality test Multivariate GARCH models Distribution free test;

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    1. Engle, Robert F. & Kroner, Kenneth F., 1995. "Multivariate Simultaneous Generalized ARCH," Econometric Theory, Cambridge University Press, vol. 11(01), pages 122-150, February.
    2. Jushan Bai & Serena Ng, 2005. "Tests for Skewness, Kurtosis, and Normality for Time Series Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 23, pages 49-60, January.
    3. Comte, F. & Lieberman, O., 2003. "Asymptotic theory for multivariate GARCH processes," Journal of Multivariate Analysis, Elsevier, vol. 84(1), pages 61-84, January.
    4. Taewook Lee & Sangyeol Lee, 2009. "Normal Mixture Quasi-maximum Likelihood Estimator for GARCH Models," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 36(1), pages 157-170.
    5. Bai, Jushan & Chen, Zhihong, 2008. "Testing multivariate distributions in GARCH models," Journal of Econometrics, Elsevier, vol. 143(1), pages 19-36, March.
    6. Fiorentini, Gabriele & Sentana, Enrique & Calzolari, Giorgio, 2004. "On the validity of the Jarque-Bera normality test in conditionally heteroskedastic dynamic regression models," Economics Letters, Elsevier, vol. 83(3), pages 307-312, June.
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