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An Empirical Likelihood Ratio Test for Normality in Linear Regression

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Abstract

The empirical likelihood ratio (ELR) test for the problem of testing for normality in a linear regression modell is derived in this paper. The sampling properties of the ELR test and four other commonly used tests are provided and analyzed using Monte Carlo simulation. The ELR test has good power properties against various alternative hypotheses.

Suggested Citation

  • Lauren Bin Dong & David E. A. Giles, 2004. "An Empirical Likelihood Ratio Test for Normality in Linear Regression," Econometrics Working Papers 0402, Department of Economics, University of Victoria.
    • Handle: RePEc:vic:vicewp:0402
    Note: ISSN 1485-6441
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    File URL: https://www.uvic.ca/socialsciences/economics/_assets/docs/econometrics/ewp0402.pdf
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    1. repec:cup:cbooks:9780521623940 is not listed on IDEAS
    2. Lauren Bin Dong & David E. A. Giles, 2004. "An Empirical Likelihood Ratio Test for Normality," Econometrics Working Papers 0401, Department of Economics, University of Victoria.
    3. Jarque, Carlos M. & Bera, Anil K., 1980. "Efficient tests for normality, homoscedasticity and serial independence of regression residuals," Economics Letters, Elsevier, vol. 6(3), pages 255-259.
    4. Bera, Anil K. & Jarque, Carlos M., 1981. "Efficient tests for normality, homoscedasticity and serial independence of regression residuals : Monte Carlo Evidence," Economics Letters, Elsevier, vol. 7(4), pages 313-318.
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    Cited by:

    1. Jiwoong Kim, 2020. "Implementation of a goodness-of-fit test through Khmaladze martingale transformation," Computational Statistics, Springer, vol. 35(4), pages 1993-2017, December.

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    More about this item

    Keywords

    Regression residual; Empirical likelihood ratio; Monte Carlo simulation; Normality;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C16 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Econometric and Statistical Methods; Specific Distributions

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