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Finite-sample quantiles of the Jarque-Bera test

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STEVE LAWFORD ()

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Abstract

The finite-sample null distribution of the Jarque-Bera Lagrange multiplier test for normality differs considerably from the asymptotic X2 (2). However, asymptotic critical values are commonly used in applied work, even for relatively small sample sizes. Here, we develop very accurate response surface approximations for the 10% and 5% critical values of the test, which enable correct practical implementation.

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Publisher Info
Paper provided by Economics and Finance Section, School of Social Sciences, Brunel University in its series Economics and Finance Discussion Papers with number 04-03.

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Length: 7 pages
Date of creation: Feb 2004
Date of revision:
Handle: RePEc:bru:bruedp:04-03

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Postal: Brunel University, Uxbridge, Middlesex UB8 3PH, UK

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  1. MacKinnon, James G & Haug, Alfred A & Michelis, Leo, 1999. "Numerical Distribution Functions of Likelihood Ratio Tests for Cointegration," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 14(5), pages 563-77, Sept.-Oct. [Downloadable!]
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  2. MacKinnon, James G, 1994. "Approximate Asymptotic Distribution Functions for Unit-Root and Cointegration Tests," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(2), pages 167-76, April.
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  3. Cheung, Yin-Wong & Lai, Kon S, 1995. "Lag Order and Critical Values of the Augmented Dickey-Fuller Test," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(3), pages 277-80, July.
  4. Neil R. Ericsson & James G. MacKinnon, 2002. "Distributions of error correction tests for cointegration," Econometrics Journal, Royal Economic Society, vol. 5(2), pages 285-318, 06. [Downloadable!] (restricted)
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  5. Deb, Partha & Sefton, Martin, 1996. "The distribution of a Lagrange multiplier test of normality," Economics Letters, Elsevier, vol. 51(2), pages 123-130, May. [Downloadable!] (restricted)
  6. Ericsson, Neil R, 1991. "Monte Carlo Methodology and the Finite Sample Properties of Instrumental Variables Statistics for Testing Nested and Non-nested Hypotheses," Econometrica, Econometric Society, vol. 59(5), pages 1249-77, September. [Downloadable!] (restricted)
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