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A Bounds Test for Equality Between Sets of Coefficients in Two Linear Regression Models Under Heteroscedasticity


  • Ohtani, Kazuhiro
  • Kobayashi, Masahito


This article proposes a small sample bounds test for equality between sets of coefficients in two linear regressions with unequal disturbance variances. The probability that our test is inconclusive is given under the null hypothesis. It is also shown that our test is more powerful than the Jayatissa test when the regression coefficients differ substantially.

Suggested Citation

  • Ohtani, Kazuhiro & Kobayashi, Masahito, 1986. "A Bounds Test for Equality Between Sets of Coefficients in Two Linear Regression Models Under Heteroscedasticity," Econometric Theory, Cambridge University Press, vol. 2(02), pages 220-231, August.
  • Handle: RePEc:cup:etheor:v:2:y:1986:i:02:p:220-231_01

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    References listed on IDEAS

    1. Gourieroux, Christian & Holly, Alberto & Monfort, Alain, 1982. "Likelihood Ratio Test, Wald Test, and Kuhn-Tucker Test in Linear Models with Inequality Constraints on the Regression Parameters," Econometrica, Econometric Society, vol. 50(1), pages 63-80, January.
    2. Z. Lomnicki, 1961. "Tests for departure from normality in the case of linear stochastic processes," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 4(1), pages 37-62, December.
    3. Dhrymes, Phoebus J & Taylor, John B, 1976. "On an Efficient Two-Step Estimator for Dynamic Simultaneous Equations Models with Autoregressive Errors," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 17(2), pages 362-376, June.
    4. A. R. Pagan & A. D. Hall & P. K. Trivedi, 1983. "Assessing the Variability of Inflation," Review of Economic Studies, Oxford University Press, vol. 50(4), pages 585-596.
    5. White, Halbert & Domowitz, Ian, 1984. "Nonlinear Regression with Dependent Observations," Econometrica, Econometric Society, vol. 52(1), pages 143-161, January.
    6. Godfrey, Leslie G, 1978. "Testing against General Autoregressive and Moving Average Error Models When the Regressors Include Lagged Dependent Variables," Econometrica, Econometric Society, vol. 46(6), pages 1293-1301, November.
    7. White, Halbert, 1982. "Maximum Likelihood Estimation of Misspecified Models," Econometrica, Econometric Society, vol. 50(1), pages 1-25, January.
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    Cited by:

    1. Gilligan, Daniel O. & Veiga, Alinne, 2003. "An Evaluation Of Geographic Targeting In Bolsa Alimentação In Brazil," 2003 Annual meeting, July 27-30, Montreal, Canada 21915, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    2. Adrian C. Darnell, 1994. "A Dictionary Of Econometrics," Books, Edward Elgar Publishing, number 118.
    3. Gelman, Sergey & Burhop, Carsten, 2008. "Taxation, regulation and the information efficiency of the Berlin stock exchange, 1892–1913," European Review of Economic History, Cambridge University Press, vol. 12(01), pages 39-66, April.

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