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Residual-Based Tests for Normality in Autoregressions: Asymptotic Theory and Simulation Evidence

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Author Info
Kilian, Lutz
Demiroglu, Ufuk

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Abstract

Existing results for the asymptotic validity of the Jarque-Bera test in vector autoregressive (VAR) models assume stationarity. In applied work, however, researchers often work with possibly integrated and cointegrated process. We prove the asymptotic validity of the Jarque-Bera test for vector error-correction (VEC) models and for unrestricted VAR models with possibly integrated or cointegrated variables. We also propose the use of bootstrap critical values in stationary VAR models and in VEC models. We show that the bootstrap version of the Jarque-Bera test is considerably more accurate in small samples than the asymptotic test, even for processes with roots close to unity.

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Publisher Info
Article provided by American Statistical Association in its journal Journal of Business and Economic Statistics.

Volume (Year): 18 (2000)
Issue (Month): 1 (January)
Pages: 40-50
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Handle: RePEc:bes:jnlbes:v:18:y:2000:i:1:p:40-50

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  1. Oussama Chakroun & Georges Dionne & Amélie Dugas-Sampara, 2006. "Empirical Evaluation of Investor Rationality in the Asset Allocation Puzzle," Cahiers de recherche 0635, CIRPEE. [Downloadable!]
  2. BONTEMPS, Christian & MEDDAHI, Nour, 2002. "Testing Normality : A GMM Approach," Cahiers de recherche 2002-14, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
  3. Francisco Javier Mencía & Enrique Sentana, 2004. "Estimation And Testing Of Dynamic Models With Generalised Hyperbolic Innovations," Working Papers wp2004_0411, CEMFI. [Downloadable!]
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  4. DUFOUR, Jean-Marie & KHALAF, Lynda & BEAULIEU, Marie-Claude, 2003. "Exact Skewness-Kurtosis Tests for Multivariate Normality and Goodness-of-Fit in Multivariate Regressions with Application to Asset Pricing Models," Cahiers de recherche 07-2003, Centre interuniversitaire de recherche en économie quantitative, CIREQ. [Downloadable!]
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  5. Christian Bontemps & Nour Meddahi, 2002. "Testing Normality: A GMM Approach," CIRANO Working Papers 2002s-63, CIRANO. [Downloadable!]
  6. Bent Nielsen & Eric Engler, 2007. "The empirical process of autoregressive residuals," Economics Papers 2007-W01, Economics Group, Nuffield College, University of Oxford. [Downloadable!]
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