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Testing for structural Change in Regression: An Empirical Likelihood Ratio Approach

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  • Lauren Bin Dong

    (Statistics Canada)

Abstract

In this paper we derive an empirical likelihood type Wald (ELW)test for the problem testing for structural change in a linear regression model when the variance of error term is not known to be equal across regimes. The sampling properties of the ELW test are analyzed using Monte Carlo simulation. Comparisons of these properties of the ELW test and of three other commonly used tests (Jayatissa, Weerahandi, and Wald) are conducted. The finding is that the ELW test has very good power properties.

Suggested Citation

  • Lauren Bin Dong, 2004. "Testing for structural Change in Regression: An Empirical Likelihood Ratio Approach," Econometrics Working Papers 0405, Department of Economics, University of Victoria.
    • Handle: RePEc:vic:vicewp:0405
    Note: ISSN 1485-6441
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    File URL: https://www.uvic.ca/socialsciences/economics/_assets/docs/econometrics/ewp0405.pdf
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    References listed on IDEAS

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    1. repec:cup:cbooks:9780521623940 is not listed on IDEAS
    2. Jayatissa, W A, 1977. "Tests of Equality between Sets of Coefficients in Two Linear Regressions when Disturbance Variances Are Unequal," Econometrica, Econometric Society, vol. 45(5), pages 1291-1292, July.
    3. Weerahandi, Samaradasa, 1987. "Testing Regression Equality with Unequal Variances," Econometrica, Econometric Society, vol. 55(5), pages 1211-1215, September.
    4. Watt, P A, 1979. "Tests of Equality between Sets of Coefficients in Two Linear Regressions When Disturbance Variances Are Unequal: Some Small Sample Properties," The Manchester School of Economic & Social Studies, University of Manchester, vol. 47(4), pages 391-396, December.
    5. White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-838, May.
    6. Giles, Judith A & Giles, David E A, 1993. "Pre-test Estimation and Testing in Econometrics: Recent Developments," Journal of Economic Surveys, Wiley Blackwell, vol. 7(2), pages 145-197, June.
    7. Ohtani, Kazuhiro & Toyoda, Toshihisa, 1985. "Small Sample Properties of Tests of Equality between Sets of Coefficients in Two Linear Regressions under Heteroscedasticity," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(1), pages 37-44, February.
    8. Honda, Yuzo, 1982. "On Tests of Equality between Sets of Coefficients in Two Linear Regressions When Disturbance Variances Are Unequal," The Manchester School of Economic & Social Studies, University of Manchester, vol. 50(2), pages 116-125, June.
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    Keywords

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    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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