Residual-Based Bootstrap Tests for Normality in Autoregressions
Abstract- It is well known that the asymptotic distribution of residual-based test statistics for normality may provide a poor approximation in finite samples. We propose the use of bootstrap critical values to improve small-sample performance and compare the accuracy of the asymptotic and bootstrap versions of the Bera-Jarque test for normality in autoregressions. The proposed bootstrap test is shown to be considerably more accurate than the asymptotic test for a wide range of univariate and multivariate finite order AR models. It effectively eliminates size distortions. The bootstrap test also has high power against a variety of non-Gaussian alternatives including GARCH innovations. Our results are useful in many areas of forecasting and econometric inference, including maximum likelihood estimation and inference for cointegrated systems, the construction of forecast intervals and multivariate forecast regions for autoregressions, backcasting techniques in conditional bootstrap prediction, tests for structural instability in autoregressions, and resampling techniques based on second-moment approximations.
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Bibliographic InfoPaper provided by Michigan - Center for Research on Economic & Social Theory in its series Papers with number 97-14.
Length: 23 pages
Date of creation: 1997
Date of revision:
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Postal: UNIVERSITY OF MICHIGAN, DEPARTMENT OF ECONOMICS CENTER FOR RESEARCH ON ECONOMIC AND SOCIAL THEORY, ANN ARBOR MICHIGAN U.S.A.
FORECASTING ; TESTS ; ECONOMIC MODELS;
Find related papers by JEL classification:
- C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
- C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
- C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
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- Christian Bontemps & Nour Meddahi, 2002.
"Testing Normality: A GMM Approach,"
CIRANO Working Papers
- DUFOUR, Jean-Marie & JOUINI, Tarek, 2005.
"Finite-Sample Simulation-Based Inference in VAR Models with Applications to Order Selection and Causality Testing,"
Cahiers de recherche
2005-12, Universite de Montreal, Departement de sciences economiques.
- DUFOUR, Jean-Marie & JOUINI, Tarek, 2005. "Finite-Sample Simulation-Based Inference in VAR Models with Applications to Order Selection and Causality Testing," Cahiers de recherche 16-2005, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- Jean-Marie Dufour & Tarek Jouini, 2005. "Finite-Sample Simulation-Based Inference in VAR Models with Applications to Order Selection and Causality Testing," CIRANO Working Papers 2005s-26, CIRANO.
- Dufour, Jean-Marie & Jouini, Tarek, 2006. "Finite-sample simulation-based inference in VAR models with application to Granger causality testing," Journal of Econometrics, Elsevier, vol. 135(1-2), pages 229-254.
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